57913228800 has 960 divisors, whose sum is σ = 249888291840. Its totient is φ = 12859637760.

The previous prime is 57913228777. The next prime is 57913228819. The reversal of 57913228800 is 882231975.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×57913228800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89510077 + ... + 89510723.

It is an arithmetic number, because the mean of its divisors is an integer number (260300304).

Almost surely, 2^57913228800 is an apocalyptic number.

57913228800 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 57913228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124944145920).

57913228800 is an abundant number, since it is smaller than the sum of its proper divisors (191975063040).

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

57913228800 is a wasteful number, since it uses less digits than its factorization.

57913228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 57913228800 in words is "fifty-seven billion, nine hundred thirteen million, two hundred twenty-eight thousand, eight hundred".