13676116200 has 96 divisors (see below), whose sum is σ = 42415142400. Its totient is φ = 3645314560.

The previous prime is 13676116187. The next prime is 13676116213. The reversal of 13676116200 is 261167631.

It is an interprime number because it is at equal distance from previous prime (13676116187) and next prime (13676116213).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921849 + ... + 1928951.

It is an arithmetic number, because the mean of its divisors is an integer number (441824400).

Almost surely, 2^13676116200 is an apocalyptic number.

13676116200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13676116200 is an abundant number, since it is smaller than the sum of its proper divisors (28739026200).

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

13676116200 is a wasteful number, since it uses less digits than its factorization.

13676116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331 (or 10322 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 13676116200 in words is "thirteen billion, six hundred seventy-six million, one hundred sixteen thousand, two hundred".