57144971520 has 1296 divisors, whose sum is σ = 258524727552. Its totient is φ = 11346739200.

The previous prime is 57144971491. The next prime is 57144971557. The reversal of 57144971520 is 2517944175.

57144971520 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 497 + 152 + 0 = 666.

It is a super-2 number, since 2×57144971520² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 378443445 + ... + 378443595.

Almost surely, 2^57144971520 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 57144971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129262363776).

57144971520 is an abundant number, since it is smaller than the sum of its proper divisors (201379756032).

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

57144971520 is a wasteful number, since it uses less digits than its factorization.

57144971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 57144971520 in words is "fifty-seven billion, one hundred forty-four million, nine hundred seventy-one thousand, five hundred twenty".