57840082560 has 512 divisors, whose sum is σ = 221897491200. Its totient is φ = 14154448896.

The previous prime is 57840082537. The next prime is 57840082579. The reversal of 57840082560 is 6528004875.

57840082560 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 0 + 0 + 82 + 560 = 666.

57840082560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44253427 + ... + 44254733.

Almost surely, 2^57840082560 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 57840082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110948745600).

57840082560 is an abundant number, since it is smaller than the sum of its proper divisors (164057408640).

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

57840082560 is a wasteful number, since it uses less digits than its factorization.

57840082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 57840082560 in words is "fifty-seven billion, eight hundred forty million, eighty-two thousand, five hundred sixty".