566816590080 has 1296 divisors, whose sum is σ = 2264528762496. Its totient is φ = 135603486720.

The previous prime is 566816590073. The next prime is 566816590141. The reversal of 566816590080 is 80095618665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 566816589999 and 566816590026.

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 143 ways as a sum of consecutive naturals, for example, 2155196029 + ... + 2155196291.

It is an arithmetic number, because the mean of its divisors is an integer number (1747321576).

Almost surely, 2^566816590080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566816590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132264381248).

566816590080 is an abundant number, since it is smaller than the sum of its proper divisors (1697712172416).

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

566816590080 is a wasteful number, since it uses less digits than its factorization.

566816590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 566816590080 in words is "five hundred sixty-six billion, eight hundred sixteen million, five hundred ninety thousand, eighty".