57968886975 has 96 divisors (see below), whose sum is σ = 100028597760. Its totient is φ = 29596515840.

The previous prime is 57968886971. The next prime is 57968886979.

57968886975 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (57968886971) and next prime (57968886979).

It is not a de Polignac number, because 57968886975 - 2² = 57968886971 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57968886975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57968886971) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 89596102 + ... + 89596748.

It is an arithmetic number, because the mean of its divisors is an integer number (1041964560).

Almost surely, 2^57968886975 is an apocalyptic number.

57968886975 is a deficient number, since it is larger than the sum of its proper divisors (42059710785).

57968886975 is a wasteful number, since it uses less digits than its factorization.

57968886975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 78.

The spelling of 57968886975 in words is "fifty-seven billion, nine hundred sixty-eight million, eight hundred eighty-six thousand, nine hundred seventy-five".