10756924416 has 440 divisors, whose sum is σ = 37283828736. Its totient is φ = 3025797120.

The previous prime is 10756924397. The next prime is 10756924429. The reversal of 10756924416 is 61442965701.

It is a super-2 number, since 2×10756924416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56318881 + ... + 56319071.

Almost surely, 2^10756924416 is an apocalyptic number.

10756924416 is a gapful number since it is divisible by the number (16) 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 10756924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641914368).

10756924416 is an abundant number, since it is smaller than the sum of its proper divisors (26526904320).

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

10756924416 is an equidigital number, since it uses as much as digits as its factorization.

10756924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10756924416 in words is "ten billion, seven hundred fifty-six million, nine hundred twenty-four thousand, four hundred sixteen".