10713074688 has 352 divisors, whose sum is σ = 35089182720. Its totient is φ = 3211591680.

The previous prime is 10713074681. The next prime is 10713074689. The reversal of 10713074688 is 88647031701.

It is a super-2 number, since 2×10713074688² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10713074681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10809873 + ... + 10810863.

Almost surely, 2^10713074688 is an apocalyptic number.

10713074688 is a gapful number since it is divisible by the number (18) 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 10713074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544591360).

10713074688 is an abundant number, since it is smaller than the sum of its proper divisors (24376108032).

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

10713074688 is a wasteful number, since it uses less digits than its factorization.

10713074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10713074688 in words is "ten billion, seven hundred thirteen million, seventy-four thousand, six hundred eighty-eight".