57655281898656 has 72 divisors (see below), whose sum is σ = 176569300826100. Its totient is φ = 17740086736896.

The previous prime is 57655281898649. The next prime is 57655281898667. The reversal of 57655281898656 is 65689818255675.

57655281898656 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 528 + 1 + 8 + 9 + 86 + 5 + 6 = 666.

57655281898656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55948904010000 + 1706377888656 = 7479900^2 + 1306284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7699686681 + ... + 7699694168.

Almost surely, 2^{57655281898656} is an apocalyptic number.

It is an amenable number.

57655281898656 is an abundant number, since it is smaller than the sum of its proper divisors (118914018927444).

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

57655281898656 is a wasteful number, since it uses less digits than its factorization.

57655281898656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399380878 (or 15399380867 counting only the distinct ones).

The product of its digits is 8709120000, while the sum is 81.

The spelling of 57655281898656 in words is "fifty-seven trillion, six hundred fifty-five billion, two hundred eighty-one million, eight hundred ninety-eight thousand, six hundred fifty-six".