566500463020800 has 3888 divisors, whose sum is σ = 2805782099702400. Its totient is φ = 111515752857600.

The previous prime is 566500463020799. The next prime is 566500463020813. The reversal of 566500463020800 is 8020364005665.

566500463020800 is a `hidden beast` number, since 5 + 6 + 6 + 5 + 0 + 0 + 4 + 630 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×566500463020800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15926785416 + ... + 15926820984.

Almost surely, 2^{566500463020800} is an apocalyptic number.

566500463020800 is a gapful number since it is divisible by the number (50) 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 566500463020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402891049851200).

566500463020800 is an abundant number, since it is smaller than the sum of its proper divisors (2239281636681600).

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

566500463020800 is a wasteful number, since it uses less digits than its factorization.

566500463020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35654 (or 35616 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 566500463020800 in words is "five hundred sixty-six trillion, five hundred billion, four hundred sixty-three million, twenty thousand, eight hundred".