57503144160 has 960 divisors, whose sum is σ = 261870174720. Its totient is φ = 11530874880.

The previous prime is 57503144137. The next prime is 57503144173. The reversal of 57503144160 is 6144130575.

57503144160 is a `hidden beast` number, since 5 + 7 + 503 + 144 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×57503144160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28938687 + ... + 28940673.

It is an arithmetic number, because the mean of its divisors is an integer number (272781432).

Almost surely, 2^57503144160 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 57503144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130935087360).

57503144160 is an abundant number, since it is smaller than the sum of its proper divisors (204367030560).

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

57503144160 is a wasteful number, since it uses less digits than its factorization.

57503144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 57503144160 in words is "fifty-seven billion, five hundred three million, one hundred forty-four thousand, one hundred sixty".