12956653920 has 96 divisors (see below), whose sum is σ = 46643966208. Its totient is φ = 2961520128.

The previous prime is 12956653903. The next prime is 12956653933. The reversal of 12956653920 is 2935665921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12956653920.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1924714 + ... + 1931433.

It is an arithmetic number, because the mean of its divisors is an integer number (485874648).

Almost surely, 2^12956653920 is an apocalyptic number.

12956653920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12956653920 is an abundant number, since it is smaller than the sum of its proper divisors (33687312288).

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

12956653920 is a wasteful number, since it uses less digits than its factorization.

12956653920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856172 (or 3856164 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 12956653920 in words is "twelve billion, nine hundred fifty-six million, six hundred fifty-three thousand, nine hundred twenty".