566002061856 has 672 divisors, whose sum is σ = 2114502340608. Its totient is φ = 144788497920.

The previous prime is 566002061843. The next prime is 566002061869. The reversal of 566002061856 is 658160200665.

It is a happy number.

566002061856 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 0 + 20 + 618 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (566002061843) and next prime (566002061869).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 120346801 + ... + 120351503.

It is an arithmetic number, because the mean of its divisors is an integer number (3146580864).

Almost surely, 2^566002061856 is an apocalyptic number.

566002061856 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 566002061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057251170304).

566002061856 is an abundant number, since it is smaller than the sum of its proper divisors (1548500278752).

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

566002061856 is a wasteful number, since it uses less digits than its factorization.

566002061856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 566002061856 in words is "five hundred sixty-six billion, two million, sixty-one thousand, eight hundred fifty-six".