566675088000 has 512 divisors, whose sum is σ = 2159958528000. Its totient is φ = 128737382400.

The previous prime is 566675087977. The next prime is 566675088011. The reversal of 566675088000 is 880576665.

It is a super-2 number, since 2×566675088000² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 56106951 + ... + 56117049.

It is an arithmetic number, because the mean of its divisors is an integer number (4218669000).

Almost surely, 2^566675088000 is an apocalyptic number.

566675088000 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 566675088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079979264000).

566675088000 is an abundant number, since it is smaller than the sum of its proper divisors (1593283440000).

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

566675088000 is a wasteful number, since it uses less digits than its factorization.

566675088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 566675088000 in words is "five hundred sixty-six billion, six hundred seventy-five million, eighty-eight thousand".