57132037135800 has 1440 divisors, whose sum is σ = 227095356216960. Its totient is φ = 13200770880000.

The previous prime is 57132037135793. The next prime is 57132037135819. The reversal of 57132037135800 is 853173023175.

57132037135800 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 20 + 37 + 13 + 580 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 31202640885 + ... + 31202642715.

It is an arithmetic number, because the mean of its divisors is an integer number (157705108484).

Almost surely, 2^{57132037135800} is an apocalyptic number.

57132037135800 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 57132037135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113547678108480).

57132037135800 is an abundant number, since it is smaller than the sum of its proper divisors (169963319081160).

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

57132037135800 is a wasteful number, since it uses less digits than its factorization.

57132037135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 57132037135800 in words is "fifty-seven trillion, one hundred thirty-two billion, thirty-seven million, one hundred thirty-five thousand, eight hundred".