57001970018160 has 480 divisors, whose sum is σ = 199020060383040. Its totient is φ = 14603272814592.

The previous prime is 57001970018159. The next prime is 57001970018177. The reversal of 57001970018160 is 6181007910075.

57001970018160 is a `hidden beast` number, since 570 + 0 + 1 + 9 + 7 + 0 + 0 + 18 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15418437432 + ... + 15418441128.

It is an arithmetic number, because the mean of its divisors is an integer number (414625125798).

Almost surely, 2^{57001970018160} 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 57001970018160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99510030191520).

57001970018160 is an abundant number, since it is smaller than the sum of its proper divisors (142018090364880).

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

57001970018160 is a wasteful number, since it uses less digits than its factorization.

57001970018160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 57001970018160 in words is "fifty-seven trillion, one billion, nine hundred seventy million, eighteen thousand, one hundred sixty".