12557975193504 has 720 divisors, whose sum is σ = 43263211955040. Its totient is φ = 3542366131200.

The previous prime is 12557975193497. The next prime is 12557975193541. The reversal of 12557975193504 is 40539157975521.

It is a happy number.

12557975193504 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 79 + 7 + 51 + 9 + 3 + 504 = 666.

12557975193504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 615245059 + ... + 615265469.

It is an arithmetic number, because the mean of its divisors is an integer number (60087794382).

Almost surely, 2^{12557975193504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12557975193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631605977520).

12557975193504 is an abundant number, since it is smaller than the sum of its proper divisors (30705236761536).

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

12557975193504 is a wasteful number, since it uses less digits than its factorization.

12557975193504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20527 (or 20479 counting only the distinct ones).

The product of its (nonzero) digits is 59535000, while the sum is 63.

The spelling of 12557975193504 in words is "twelve trillion, five hundred fifty-seven billion, nine hundred seventy-five million, one hundred ninety-three thousand, five hundred four".