57086960560 has 80 divisors (see below), whose sum is σ = 151741627200. Its totient is φ = 19565779968.

The previous prime is 57086960537. The next prime is 57086960603. The reversal of 57086960560 is 6506968075.

57086960560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 57086960498 and 57086960507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724646 + ... + 1757434.

It is an arithmetic number, because the mean of its divisors is an integer number (1896770340).

Almost surely, 2^57086960560 is an apocalyptic number.

It is an amenable number.

57086960560 is an abundant number, since it is smaller than the sum of its proper divisors (94654666640).

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

57086960560 is a wasteful number, since it uses less digits than its factorization.

57086960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35918 (or 35912 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 57086960560 in words is "fifty-seven billion, eighty-six million, nine hundred sixty thousand, five hundred sixty".