566752250143200 has 576 divisors, whose sum is σ = 2026864559865600. Its totient is φ = 136413622272000.

The previous prime is 566752250143181. The next prime is 566752250143231. The reversal of 566752250143200 is 2341052257665.

It is a super-2 number, since 2×566752250143200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 566752250143200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9507481395 + ... + 9507541005.

It is an arithmetic number, because the mean of its divisors is an integer number (3518862083100).

Almost surely, 2^{566752250143200} is an apocalyptic number.

566752250143200 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 566752250143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013432279932800).

566752250143200 is an abundant number, since it is smaller than the sum of its proper divisors (1460112309722400).

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

566752250143200 is a wasteful number, since it uses less digits than its factorization.

566752250143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62211 (or 62198 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 566752250143200 in words is "five hundred sixty-six trillion, seven hundred fifty-two billion, two hundred fifty million, one hundred forty-three thousand, two hundred".