57655677655675 has 24 divisors (see below), whose sum is σ = 81383381844480. Its totient is φ = 40108297495200.

The previous prime is 57655677655591. The next prime is 57655677655727.

It is a happy number.

57655677655675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57655677655675 - 2²⁹ = 57655140784763 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4557754755 + ... + 4557767404.

It is an arithmetic number, because the mean of its divisors is an integer number (3390974243520).

Almost surely, 2^{57655677655675} is an apocalyptic number.

57655677655675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57655677655675 is a deficient number, since it is larger than the sum of its proper divisors (23727704188805).

57655677655675 is a wasteful number, since it uses less digits than its factorization.

57655677655675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9115522203 (or 9115522198 counting only the distinct ones).

The product of its digits is 48620250000, while the sum is 82.

The spelling of 57655677655675 in words is "fifty-seven trillion, six hundred fifty-five billion, six hundred seventy-seven million, six hundred fifty-five thousand, six hundred seventy-five".