10513617768 has 96 divisors (see below), whose sum is σ = 31460270400. Its totient is φ = 3154973184.

The previous prime is 10513617739. The next prime is 10513617787. The reversal of 10513617768 is 86771631501.

10513617768 is a `hidden beast` number, since 1 + 0 + 513 + 6 + 1 + 77 + 68 = 666.

It is a super-2 number, since 2×10513617768² (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 23 ways as a sum of consecutive naturals, for example, 158578 + ... + 214881.

It is an arithmetic number, because the mean of its divisors is an integer number (327711150).

Almost surely, 2^10513617768 is an apocalyptic number.

10513617768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10513617768 is an abundant number, since it is smaller than the sum of its proper divisors (20946652632).

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

10513617768 is a wasteful number, since it uses less digits than its factorization.

10513617768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373511 (or 373504 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10513617768 in words is "ten billion, five hundred thirteen million, six hundred seventeen thousand, seven hundred sixty-eight".