57530204160 has 480 divisors, whose sum is σ = 216406899072. Its totient is φ = 12866027520.

The previous prime is 57530204107. The next prime is 57530204167. The reversal of 57530204160 is 6140203575.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57530204167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35142862 + ... + 35144498.

Almost surely, 2^57530204160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57530204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108203449536).

57530204160 is an abundant number, since it is smaller than the sum of its proper divisors (158876694912).

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

57530204160 is a wasteful number, since it uses less digits than its factorization.

57530204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 57530204160 in words is "fifty-seven billion, five hundred thirty million, two hundred four thousand, one hundred sixty".