566255504977344 has 2016 divisors, whose sum is σ = 2158306082989056. Its totient is φ = 145848148992000.

The previous prime is 566255504977303. The next prime is 566255504977427. The reversal of 566255504977344 is 443779405552665.

566255504977344 is a `hidden beast` number, since 5 + 6 + 6 + 2 + 5 + 5 + 504 + 9 + 7 + 73 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119186590969 + ... + 119186595719.

It is an arithmetic number, because the mean of its divisors is an integer number (1070588334816).

Almost surely, 2^{566255504977344} is an apocalyptic number.

566255504977344 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 566255504977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079153041494528).

566255504977344 is an abundant number, since it is smaller than the sum of its proper divisors (1592050578011712).

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

566255504977344 is a wasteful number, since it uses less digits than its factorization.

566255504977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 3810240000, while the sum is 72.

The spelling of 566255504977344 in words is "five hundred sixty-six trillion, two hundred fifty-five billion, five hundred four million, nine hundred seventy-seven thousand, three hundred forty-four".