10652759712 has 120 divisors (see below), whose sum is σ = 35805170016. Its totient is φ = 3043640448.

The previous prime is 10652759707. The next prime is 10652759717. The reversal of 10652759712 is 21795725601.

10652759712 is a `hidden beast` number, since 1 + 0 + 6 + 52 + 7 + 597 + 1 + 2 = 666.

10652759712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10652759707) and next prime (10652759717).

It is a super-2 number, since 2×10652759712² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10652759717) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 275418 + ... + 311705.

Almost surely, 2^10652759712 is an apocalyptic number.

10652759712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10652759712 is an abundant number, since it is smaller than the sum of its proper divisors (25152410304).

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

10652759712 is an equidigital number, since it uses as much as digits as its factorization.

10652759712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587152 (or 587135 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10652759712 in words is "ten billion, six hundred fifty-two million, seven hundred fifty-nine thousand, seven hundred twelve".