57675567360 has 144 divisors (see below), whose sum is σ = 184679651520. Its totient is φ = 15340216320.

The previous prime is 57675567347. The next prime is 57675567371. The reversal of 57675567360 is 6376557675.

It is a self number, because there is not a number n which added to its sum of digits gives 57675567360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474455 + ... + 1513065.

It is an arithmetic number, because the mean of its divisors is an integer number (1282497580).

Almost surely, 2^57675567360 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 57675567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92339825760).

57675567360 is an abundant number, since it is smaller than the sum of its proper divisors (127004084160).

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

57675567360 is a wasteful number, since it uses less digits than its factorization.

57675567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39024 (or 39010 counting only the distinct ones).

The product of its (nonzero) digits is 27783000, while the sum is 57.

The spelling of 57675567360 in words is "fifty-seven billion, six hundred seventy-five million, five hundred sixty-seven thousand, three hundred sixty".