10713575040 has 256 divisors, whose sum is σ = 39143520000. Its totient is φ = 2441576448.

The previous prime is 10713575039. The next prime is 10713575113. The reversal of 10713575040 is 4057531701.

It is a super-2 number, since 2×10713575040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10713574992 and 10713575010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5495986 + ... + 5497934.

It is an arithmetic number, because the mean of its divisors is an integer number (152904375).

Almost surely, 2^10713575040 is an apocalyptic number.

10713575040 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 10713575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571760000).

10713575040 is an abundant number, since it is smaller than the sum of its proper divisors (28429944960).

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

10713575040 is a wasteful number, since it uses less digits than its factorization.

10713575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 10713575040 in words is "ten billion, seven hundred thirteen million, five hundred seventy-five thousand, forty".