13388672160 has 144 divisors (see below), whose sum is σ = 45928995840. Its totient is φ = 3551546880.

The previous prime is 13388672147. The next prime is 13388672207. The reversal of 13388672160 is 6127688331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 250701 + ... + 299379.

It is an arithmetic number, because the mean of its divisors is an integer number (318951360).

Almost surely, 2^13388672160 is an apocalyptic number.

13388672160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22964497920).

13388672160 is an abundant number, since it is smaller than the sum of its proper divisors (32540323680).

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

13388672160 is a wasteful number, since it uses less digits than its factorization.

13388672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48891 (or 48880 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13388672160 in words is "thirteen billion, three hundred eighty-eight million, six hundred seventy-two thousand, one hundred sixty".