57052877472 has 288 divisors, whose sum is σ = 182311601472. Its totient is φ = 17480945664.

The previous prime is 57052877467. The next prime is 57052877503. The reversal of 57052877472 is 27477825075.

57052877472 is a `hidden beast` number, since 5 + 7 + 0 + 528 + 77 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57052877472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5679238 + ... + 5689274.

It is an arithmetic number, because the mean of its divisors is an integer number (633026394).

Almost surely, 2^57052877472 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 57052877472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91155800736).

57052877472 is an abundant number, since it is smaller than the sum of its proper divisors (125258724000).

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

57052877472 is a wasteful number, since it uses less digits than its factorization.

57052877472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 54.

The spelling of 57052877472 in words is "fifty-seven billion, fifty-two million, eight hundred seventy-seven thousand, four hundred seventy-two".