57678903360 has 448 divisors, whose sum is σ = 225069196800. Its totient is φ = 13813161984.

The previous prime is 57678903301. The next prime is 57678903377. The reversal of 57678903360 is 6330987675.

57678903360 is a `hidden beast` number, since 576 + 7 + 8 + 9 + 0 + 3 + 3 + 60 = 666.

57678903360 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 57678903297 and 57678903306.

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, 4148901 + ... + 4162779.

It is an arithmetic number, because the mean of its divisors is an integer number (502386600).

Almost surely, 2^57678903360 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 57678903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112534598400).

57678903360 is an abundant number, since it is smaller than the sum of its proper divisors (167390293440).

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

57678903360 is a wasteful number, since it uses less digits than its factorization.

57678903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13955 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 57678903360 in words is "fifty-seven billion, six hundred seventy-eight million, nine hundred three thousand, three hundred sixty".