565879257216 has 512 divisors, whose sum is σ = 2067108825600. Its totient is φ = 148403404800.

The previous prime is 565879257191. The next prime is 565879257253. The reversal of 565879257216 is 612752978565.

565879257216 is a `hidden beast` number, since 5 + 6 + 58 + 7 + 9 + 2 + 572 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56918806 + ... + 56928746.

It is an arithmetic number, because the mean of its divisors is an integer number (4037321925).

Almost surely, 2^565879257216 is an apocalyptic number.

565879257216 is a gapful number since it is divisible by the number (56) 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 565879257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033554412800).

565879257216 is an abundant number, since it is smaller than the sum of its proper divisors (1501229568384).

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

565879257216 is a wasteful number, since it uses less digits than its factorization.

565879257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10147 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 565879257216 in words is "five hundred sixty-five billion, eight hundred seventy-nine million, two hundred fifty-seven thousand, two hundred sixteen".