66500556566100 has 144 divisors (see below), whose sum is σ = 192652300713600. Its totient is φ = 17710996582400.

The previous prime is 66500556566033. The next prime is 66500556566111. The reversal of 66500556566100 is 166565500566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3012744664 + ... + 3012766736.

It is an arithmetic number, because the mean of its divisors is an integer number (1337863199400).

Almost surely, 2^{66500556566100} is an apocalyptic number.

66500556566100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66500556566100 is an abundant number, since it is smaller than the sum of its proper divisors (126151744147500).

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

66500556566100 is a wasteful number, since it uses less digits than its factorization.

66500556566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34370 (or 34363 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 66500556566100 in words is "sixty-six trillion, five hundred billion, five hundred fifty-six million, five hundred sixty-six thousand, one hundred".