57546437081400 has 144 divisors (see below), whose sum is σ = 204628360201200. Its totient is φ = 14443027338240.

The previous prime is 57546437081387. The next prime is 57546437081407. The reversal of 57546437081400 is 418073464575.

57546437081400 is a `hidden beast` number, since 5 + 7 + 5 + 464 + 37 + 0 + 8 + 140 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57546437081407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940270660 + ... + 940331859.

It is an arithmetic number, because the mean of its divisors is an integer number (1421030279175).

Almost surely, 2^{57546437081400} is an apocalyptic number.

57546437081400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57546437081400 is an abundant number, since it is smaller than the sum of its proper divisors (147081923119800).

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

57546437081400 is a wasteful number, since it uses less digits than its factorization.

57546437081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880602558 (or 1880602546 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 57546437081400 in words is "fifty-seven trillion, five hundred forty-six billion, four hundred thirty-seven million, eighty-one thousand, four hundred".