572056085664 has 192 divisors, whose sum is σ = 1914770753280. Its totient is φ = 162765987840.

The previous prime is 572056085659. The next prime is 572056085669. The reversal of 572056085664 is 466580650275.

572056085664 is a `hidden beast` number, since 5 + 7 + 20 + 5 + 608 + 5 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (572056085659) and next prime (572056085669).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 572056085664.

It is not an unprimeable number, because it can be changed into a prime (572056085669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261332 + ... + 1653804.

It is an arithmetic number, because the mean of its divisors is an integer number (9972764340).

Almost surely, 2^572056085664 is an apocalyptic number.

572056085664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 572056085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957385376640).

572056085664 is an abundant number, since it is smaller than the sum of its proper divisors (1342714667616).

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

572056085664 is a wasteful number, since it uses less digits than its factorization.

572056085664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392740 (or 392726 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 572056085664 in words is "five hundred seventy-two billion, fifty-six million, eighty-five thousand, six hundred sixty-four".