57286064160 has 1152 divisors, whose sum is σ = 237164578560. Its totient is φ = 12931301376.

The previous prime is 57286064141. The next prime is 57286064179. The reversal of 57286064160 is 6146068275.

57286064160 is a `hidden beast` number, since 5 + 7 + 28 + 606 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57286064141) and next prime (57286064179).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506956264 + ... + 506956376.

It is an arithmetic number, because the mean of its divisors is an integer number (205872030).

Almost surely, 2^57286064160 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 57286064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118582289280).

57286064160 is an abundant number, since it is smaller than the sum of its proper divisors (179878514400).

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

57286064160 is a wasteful number, since it uses less digits than its factorization.

57286064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57286064160 in words is "fifty-seven billion, two hundred eighty-six million, sixty-four thousand, one hundred sixty".