57816677661875 has 40 divisors (see below), whose sum is σ = 81358137062400. Its totient is φ = 40692089700000.

The previous prime is 57816677661871. The next prime is 57816677661877.

57816677661875 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57816677661875 - 2² = 57816677661871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57816677661875.

It is not an unprimeable number, because it can be changed into a prime (57816677661871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135427175 + ... + 135853424.

It is an arithmetic number, because the mean of its divisors is an integer number (2033953426560).

Almost surely, 2^{57816677661875} is an apocalyptic number.

57816677661875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57816677661875 is a deficient number, since it is larger than the sum of its proper divisors (23541459400525).

57816677661875 is a wasteful number, since it uses less digits than its factorization.

57816677661875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271280661 (or 271280646 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 80.

The spelling of 57816677661875 in words is "fifty-seven trillion, eight hundred sixteen billion, six hundred seventy-seven million, six hundred sixty-one thousand, eight hundred seventy-five".