566541566100 has 54 divisors (see below), whose sum is σ = 1775793067230. Its totient is φ = 151077750720.

The previous prime is 566541566093. The next prime is 566541566113. The reversal of 566541566100 is 1665145665.

566541566100 is a `hidden beast` number, since 56 + 6 + 541 + 56 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 124311246084 + 442230320016 = 352578^2 + 665004^2 .

It is a super-2 number, since 2×566541566100² (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 (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 314744415 + ... + 314746214.

Almost surely, 2^566541566100 is an apocalyptic number.

566541566100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

566541566100 is an abundant number, since it is smaller than the sum of its proper divisors (1209251501130).

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

566541566100 is a wasteful number, since it uses less digits than its factorization.

566541566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629490649 (or 629490639 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 566541566100 in words is "five hundred sixty-six billion, five hundred forty-one million, five hundred sixty-six thousand, one hundred".