57426577135400 has 96 divisors (see below), whose sum is σ = 145986471892800. Its totient is φ = 20834823244800.

The previous prime is 57426577135393. The next prime is 57426577135531. The reversal of 57426577135400 is 453177562475.

57426577135400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57426577135400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28764257 + ... + 30695856.

It is an arithmetic number, because the mean of its divisors is an integer number (1520692415550).

Almost surely, 2^{57426577135400} is an apocalyptic number.

57426577135400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57426577135400 is an abundant number, since it is smaller than the sum of its proper divisors (88559894757400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57426577135400 is a wasteful number, since it uses less digits than its factorization.

57426577135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59460579 (or 59460570 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 56.

The spelling of 57426577135400 in words is "fifty-seven trillion, four hundred twenty-six billion, five hundred seventy-seven million, one hundred thirty-five thousand, four hundred".