566682480000 has 2400 divisors, whose sum is σ = 2680055920080. Its totient is φ = 115706880000.

The previous prime is 566682479983. The next prime is 566682480041. The reversal of 566682480000 is 84286665.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×566682480000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 18280079985 + ... + 18280080015.

Almost surely, 2^566682480000 is an apocalyptic number.

566682480000 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 566682480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340027960040).

566682480000 is an abundant number, since it is smaller than the sum of its proper divisors (2113373440080).

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

566682480000 is an equidigital number, since it uses as much as digits as its factorization.

566682480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 566682480000 in words is "five hundred sixty-six billion, six hundred eighty-two million, four hundred eighty thousand".