57845792131400 has 768 divisors, whose sum is σ = 171248772710400. Its totient is φ = 17684878417920.

The previous prime is 57845792131399. The next prime is 57845792131411. The reversal of 57845792131400 is 413129754875.

It is a super-2 number, since 2×57845792131400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40650591089 + ... + 40650592511.

It is an arithmetic number, because the mean of its divisors is an integer number (222980172800).

Almost surely, 2^{57845792131400} is an apocalyptic number.

57845792131400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57845792131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85624386355200).

57845792131400 is an abundant number, since it is smaller than the sum of its proper divisors (113402980579000).

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

57845792131400 is a wasteful number, since it uses less digits than its factorization.

57845792131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 57845792131400 in words is "fifty-seven trillion, eight hundred forty-five billion, seven hundred ninety-two million, one hundred thirty-one thousand, four hundred".