13580673168 has 40 divisors (see below), whose sum is σ = 36929903200. Its totient is φ = 4288633344.

The previous prime is 13580673133. The next prime is 13580673179. The reversal of 13580673168 is 86137608531.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 7444633 + ... + 7446456.

It is an arithmetic number, because the mean of its divisors is an integer number (923247580).

Almost surely, 2^13580673168 is an apocalyptic number.

It is an amenable number.

13580673168 is an abundant number, since it is smaller than the sum of its proper divisors (23349230032).

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

13580673168 is a wasteful number, since it uses less digits than its factorization.

13580673168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14891119 (or 14891113 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 13580673168 in words is "thirteen billion, five hundred eighty million, six hundred seventy-three thousand, one hundred sixty-eight".