57935253975 has 96 divisors (see below), whose sum is σ = 101200189440. Its totient is φ = 29206656000.

The previous prime is 57935253949. The next prime is 57935253977.

57935253975 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57935253975 - 2⁶ = 57935253911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57935253977) 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, 30832086 + ... + 30833964.

It is an arithmetic number, because the mean of its divisors is an integer number (1054168640).

Almost surely, 2^57935253975 is an apocalyptic number.

57935253975 is a deficient number, since it is larger than the sum of its proper divisors (43264935465).

57935253975 is a wasteful number, since it uses less digits than its factorization.

57935253975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2236 counting only the distinct ones).

The product of its digits is 44651250, while the sum is 60.

The spelling of 57935253975 in words is "fifty-seven billion, nine hundred thirty-five million, two hundred fifty-three thousand, nine hundred seventy-five".