11724725760 has 640 divisors, whose sum is σ = 43708059648. Its totient is φ = 2676326400.

The previous prime is 11724725731. The next prime is 11724725821. The reversal of 11724725760 is 6752742711.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316884462 + ... + 316884498.

Almost surely, 2^11724725760 is an apocalyptic number.

11724725760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11724725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21854029824).

11724725760 is an abundant number, since it is smaller than the sum of its proper divisors (31983333888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11724725760 is an equidigital number, since it uses as much as digits as its factorization.

11724725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 11724725760 in words is "eleven billion, seven hundred twenty-four million, seven hundred twenty-five thousand, seven hundred sixty".