566556655665 has 256 divisors, whose sum is σ = 1262264500224. Its totient is φ = 209392128000.

The previous prime is 566556655601. The next prime is 566556655729.

566556655665 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (566556655601) and next prime (566556655729).

It is not a de Polignac number, because 566556655665 - 2⁶ = 566556655601 is a prime.

566556655665 is a modest number, since divided by 56655665 gives 5665 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 566556655596 and 566556655605.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57217215 + ... + 57227115.

It is an arithmetic number, because the mean of its divisors is an integer number (4930720704).

Almost surely, 2^566556655665 is an apocalyptic number.

566556655665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

566556655665 is an abundant number, since it is smaller than the sum of its proper divisors (695707844559).

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

566556655665 is a wasteful number, since it uses less digits than its factorization.

566556655665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080.

The product of its digits is 729000000, while the sum is 66.

It can be divided in two parts, 566556 and 655665, that added together give a palindrome (1222221).

The spelling of 566556655665 in words is "five hundred sixty-six billion, five hundred fifty-six million, six hundred fifty-five thousand, six hundred sixty-five".