57452038560 has 1536 divisors, whose sum is σ = 262109675520. Its totient is φ = 11444944896.

The previous prime is 57452038541. The next prime is 57452038597. The reversal of 57452038560 is 6583025475.

57452038560 is a `hidden beast` number, since 5 + 7 + 4 + 52 + 0 + 38 + 560 = 666.

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 255 ways as a sum of consecutive naturals, for example, 508425064 + ... + 508425176.

It is an arithmetic number, because the mean of its divisors is an integer number (170644320).

Almost surely, 2^57452038560 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 57452038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131054837760).

57452038560 is an abundant number, since it is smaller than the sum of its proper divisors (204657636960).

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

57452038560 is a wasteful number, since it uses less digits than its factorization.

57452038560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 57452038560 in words is "fifty-seven billion, four hundred fifty-two million, thirty-eight thousand, five hundred sixty".