57152842560 has 336 divisors, whose sum is σ = 218505755520. Its totient is φ = 13593415680.

The previous prime is 57152842543. The next prime is 57152842583. The reversal of 57152842560 is 6524825175.

57152842560 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 2 + 84 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1662021 + ... + 1696059.

Almost surely, 2^57152842560 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 57152842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109252877760).

57152842560 is an abundant number, since it is smaller than the sum of its proper divisors (161352912960).

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

57152842560 is a wasteful number, since it uses less digits than its factorization.

57152842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34126 (or 34113 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 57152842560 in words is "fifty-seven billion, one hundred fifty-two million, eight hundred forty-two thousand, five hundred sixty".