10688937520 has 40 divisors (see below), whose sum is σ = 24906245184. Its totient is φ = 4266204672.

The previous prime is 10688937517. The next prime is 10688937569. The reversal of 10688937520 is 2573988601.

10688937520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10688937520² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109624 + ... + 182743.

Almost surely, 2^10688937520 is an apocalyptic number.

10688937520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10688937520 is an abundant number, since it is smaller than the sum of its proper divisors (14217307664).

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

10688937520 is a wasteful number, since it uses less digits than its factorization.

10688937520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292837 (or 292831 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 10688937520 in words is "ten billion, six hundred eighty-eight million, nine hundred thirty-seven thousand, five hundred twenty".