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Discover Ludwig"maximum number" is correct and usable in written English.
You can use it to refer to the highest amount of something. For example, "The maximum number of participants for this workshop is fifty."
Exact(60)
The maximum number was three.
The maximum number of rounds is three.
Maximum number of iterations to allow.
Peckham contains the MAXIMUM NUMBER OF THINGS.
Wednesday's vote establishes only a maximum number of competitions.
(Maximum number of students at any one session is 20).
The maximum number of transfer units is 45.
Maximum number of bins to split time range into.
Maximum number of students per group is 25.
The default is 1000; the maximum number is 2500.
Note that the maximum number of repetitions is 100.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com