57959314560 has 512 divisors, whose sum is σ = 246954240000. Its totient is φ = 12550090752.

The previous prime is 57959314529. The next prime is 57959314561. The reversal of 57959314560 is 6541395975.

57959314560 is a `hidden beast` number, since 5 + 7 + 9 + 593 + 1 + 45 + 6 + 0 = 666.

57959314560 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 = 57959314497 and 57959314506.

It is not an unprimeable number, because it can be changed into a prime (57959314561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2285631 + ... + 2310849.

It is an arithmetic number, because the mean of its divisors is an integer number (482332500).

Almost surely, 2^57959314560 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 57959314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123477120000).

57959314560 is an abundant number, since it is smaller than the sum of its proper divisors (188994925440).

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

57959314560 is a wasteful number, since it uses less digits than its factorization.

57959314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25273 (or 25255 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 57959314560 in words is "fifty-seven billion, nine hundred fifty-nine million, three hundred fourteen thousand, five hundred sixty".