57002434560 has 784 divisors, whose sum is σ = 216598463424. Its totient is φ = 14364573696.

The previous prime is 57002434553. The next prime is 57002434589. The reversal of 57002434560 is 6543420075.

57002434560 is a `hidden beast` number, since 5 + 70 + 0 + 24 + 3 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 686776279 + ... + 686776361.

Almost surely, 2^57002434560 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 57002434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108299231712).

57002434560 is an abundant number, since it is smaller than the sum of its proper divisors (159596028864).

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

57002434560 is an frugal number, since it uses more digits than its factorization.

57002434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57002434560 in words is "fifty-seven billion, two million, four hundred thirty-four thousand, five hundred sixty".