75975657957 has 24 divisors (see below), whose sum is σ = 112727037696. Its totient is φ = 49273461216.

The previous prime is 75975657949. The next prime is 75975657983.

75975657957 is a `hidden beast` number, since 7 + 5 + 9 + 7 + 565 + 7 + 9 + 57 = 666.

75975657957 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75975657957 - 2³ = 75975657949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75975657157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558328 + ... + 2587854.

It is an arithmetic number, because the mean of its divisors is an integer number (4696959904).

Almost surely, 2^75975657957 is an apocalyptic number.

It is an amenable number.

75975657957 is a deficient number, since it is larger than the sum of its proper divisors (36751379739).

75975657957 is a wasteful number, since it uses less digits than its factorization.

75975657957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37297 (or 37294 counting only the distinct ones).

The product of its digits is 729303750, while the sum is 72.

The spelling of 75975657957 in words is "seventy-five billion, nine hundred seventy-five million, six hundred fifty-seven thousand, nine hundred fifty-seven".