12907657584 has 80 divisors (see below), whose sum is σ = 37657207840. Its totient is φ = 4232010240.

The previous prime is 12907657549. The next prime is 12907657591. The reversal of 12907657584 is 48575670921.

12907657584 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 7 + 6 + 57 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12907657584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218557 + ... + 271260.

It is an arithmetic number, because the mean of its divisors is an integer number (470715098).

Almost surely, 2^12907657584 is an apocalyptic number.

It is an amenable number.

12907657584 is an abundant number, since it is smaller than the sum of its proper divisors (24749550256).

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

12907657584 is a wasteful number, since it uses less digits than its factorization.

12907657584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489895 (or 489883 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12907657584 in words is "twelve billion, nine hundred seven million, six hundred fifty-seven thousand, five hundred eighty-four".