The phrase "alarmingly increasing number" is correct and usable in written English.
It can be used to describe a situation where the number of something is rising at a concerning or troubling rate.
Example: "The alarmingly increasing number of climate-related disasters has prompted urgent action from governments worldwide."
Alternatives: "worryingly rising number" or "concerningly growing number".
Human neurocysticercosis by Taenia solium is considered a serious brain disorder in developing countries [ 1], with an alarmingly increased number of new cases in developed industrialized nations [ 2].
Indeed, it constitutes over half the body in an alarmingly high and increasing number of people [e.g., in women, who have a higher percent body fat than men, with a body mass index (BMI) over 35 kg m−2].
As the firms they work for invest at an alarmingly low rate, their productivity stagnates.Ruminating on the state of the nation, Mrs Turner describes the increasing number of people who come to the CAB with plastic bags stuffed with unopened post from creditors.
Increasing numbers choose both.
The number of man-made debris objects orbiting the Earth, or orbital debris, is alarmingly increasing, resulting in the increased probability of degradation, damage, or destruction of operating spacecraft.
Small municipalities rely disproportionately upon state-controlled resources -- which are becoming ever scarcer at an alarmingly increasing rate.
In an era of alarmingly increasing bacterial resistance, our study adds clinical information about the outcome of infections due to pandrug-resistant Gram-negative bacteria.
Diabetes mellitus (DM) is one of the chronic illnesses with multi-system complications; the prevalence of which is alarmingly increasing [ 1, 2].
Men who have sex with men (MSM) have accounted for an alarmingly increasing proportion of nationally reported human immunodeficiency virus/acquired immune deficiency syndrome (HIV/AIDS) cases recently.
Increased number of shoppers.
