57312144121375 has 192 divisors, whose sum is σ = 92143460118528. Its totient is φ = 35043805440000.

The previous prime is 57312144121327. The next prime is 57312144121423.

57312144121375 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (57312144121327) and next prime (57312144121423).

It is not a de Polignac number, because 57312144121375 - 2⁷ = 57312144121247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159963184 + ... + 160321066.

It is an arithmetic number, because the mean of its divisors is an integer number (479913854784).

Almost surely, 2^{57312144121375} is an apocalyptic number.

57312144121375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57312144121375 is a deficient number, since it is larger than the sum of its proper divisors (34831315997153).

57312144121375 is a wasteful number, since it uses less digits than its factorization.

57312144121375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357987 (or 357960 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

It can be divided in two parts, 5731214 and 4121375, that added together give a palindrome (9852589).

The spelling of 57312144121375 in words is "fifty-seven trillion, three hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred seventy-five".