57854943360 has 320 divisors, whose sum is σ = 215597954880. Its totient is φ = 14756898816.

The previous prime is 57854943353. The next prime is 57854943397. The reversal of 57854943360 is 6334945875.

57854943360 is a `hidden beast` number, since 5 + 7 + 8 + 549 + 4 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 57854943297 and 57854943306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1168059 + ... + 1216581.

It is an arithmetic number, because the mean of its divisors is an integer number (673743609).

Almost surely, 2^57854943360 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 57854943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107798977440).

57854943360 is an abundant number, since it is smaller than the sum of its proper divisors (157743011520).

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

57854943360 is a wasteful number, since it uses less digits than its factorization.

57854943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48577 (or 48556 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 57854943360 in words is "fifty-seven billion, eight hundred fifty-four million, nine hundred forty-three thousand, three hundred sixty".