57499655400 has 288 divisors, whose sum is σ = 211082695200. Its totient is φ = 13911206400.

The previous prime is 57499655393. The next prime is 57499655413. The reversal of 57499655400 is 455699475.

57499655400 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 96 + 5 + 540 + 0 = 666.

It is a super-2 number, since 2×57499655400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10827946 + ... + 10833254.

It is an arithmetic number, because the mean of its divisors is an integer number (732926025).

Almost surely, 2^57499655400 is an apocalyptic number.

57499655400 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 57499655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105541347600).

57499655400 is an abundant number, since it is smaller than the sum of its proper divisors (153583039800).

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

57499655400 is a wasteful number, since it uses less digits than its factorization.

57499655400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 57499655400 in words is "fifty-seven billion, four hundred ninety-nine million, six hundred fifty-five thousand, four hundred".