5616186766100 has 18 divisors (see below), whose sum is σ = 12187125282654. Its totient is φ = 2246474706400.

The previous prime is 5616186766039. The next prime is 5616186766133. The reversal of 5616186766100 is 16676816165.

It can be written as a sum of positive squares in 3 ways, for example, as 428715895696 + 5187470870404 = 654764^2 + 2277602^2 .

It is a super-2 number, since 2×5616186766100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28080933731 + ... + 28080933930.

It is an arithmetic number, because the mean of its divisors is an integer number (677062515703).

Almost surely, 2^{5616186766100} is an apocalyptic number.

5616186766100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5616186766100 is an abundant number, since it is smaller than the sum of its proper divisors (6570938516554).

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

5616186766100 is a wasteful number, since it uses less digits than its factorization.

5616186766100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56161867675 (or 56161867668 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 5616186766100 in words is "five trillion, six hundred sixteen billion, one hundred eighty-six million, seven hundred sixty-six thousand, one hundred".