The phrase "accumulating a total of" is correct and usable in written English.
It can be used when describing the process of gathering or collecting a specific amount or sum over time.
Example: "After several months of hard work, the team is accumulating a total of 500 hours of volunteer service."
Alternatives: "gathering a sum of" or "collecting a total of".
They sacked the Falcons quarterbacks -- Chandler and the former Giant Danny Kanell -- four times, after accumulating a total of five sacks through the first five games of the season.
"Nature Boy" went on to sell a million copies in 1948 and Billboard DJs listed it as the greatest record of the year, with the song accumulating a total of 743 points.
In its 31st chart week it broke into the top ten again where it remained for another six weeks in a row, accumulating a total of thirteen weeks in the top ten.
Of these, 2752 (91.5%) had >1 visit recorded, accumulating a total of 5085.2 person-years of follow-up.
Half an hour of MVPA during this period [ 38, 39], would result in children accumulating a total of one hour of daily MVPA.
The authors studied U.S.-based Web users who, between March and May of 2013, accumulated a total of 2.3 billion page views.
In 2012 the Modern Museum of Art acquired 12 video games "for starters", with plans to accumulate a total of 40.
And once library users have accumulated a total of $15 in fines, their borrowing privileges can be suspended.
Facing severe financial woes, New York is pursuing deadbeats who have long seemed to thumb their noses at the city with impunity, the hundreds of thousands of scofflaws who have accumulated a total of nearly $700 million in overdue parking fines.
It was later than some of its rivals to arrive in the region (in 2000), but has since snapped up ten banks and accumulated a total of about 16m customers there.
REPEAT CUSTOMERS: A group of West Coast lodgings called the Four Sisters Inns has a Frequent Sleeper program that offers a free night's stay to guests who accumulate a total of 10 nights any time at any of the chain's 12 West Coast inns.
