57735253775 has 48 divisors (see below), whose sum is σ = 75259611648. Its totient is φ = 43853040000.

The previous prime is 57735253769. The next prime is 57735253853.

57735253775 is nontrivially palindromic in base 10.

57735253775 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57735253775 - 2²⁸ = 57466818319 is a prime.

It is a super-4 number, since 4×57735253775⁴ (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57735253775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82360925 + ... + 82361625.

It is an arithmetic number, because the mean of its divisors is an integer number (1567908576).

Almost surely, 2^57735253775 is an apocalyptic number.

57735253775 is a deficient number, since it is larger than the sum of its proper divisors (17524357873).

57735253775 is a wasteful number, since it uses less digits than its factorization.

57735253775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1587 counting only the distinct ones).

The product of its digits is 27011250, while the sum is 56.

The spelling of 57735253775 in words is "fifty-seven billion, seven hundred thirty-five million, two hundred fifty-three thousand, seven hundred seventy-five".