13715372160 has 384 divisors, whose sum is σ = 55877852160. Its totient is φ = 3033538560.

The previous prime is 13715372137. The next prime is 13715372179. The reversal of 13715372160 is 6127351731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13715372160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1244434 + ... + 1255406.

It is an arithmetic number, because the mean of its divisors is an integer number (145515240).

Almost surely, 2^13715372160 is an apocalyptic number.

13715372160 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 13715372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27938926080).

13715372160 is an abundant number, since it is smaller than the sum of its proper divisors (42162480000).

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

13715372160 is a wasteful number, since it uses less digits than its factorization.

13715372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 13715372160 in words is "thirteen billion, seven hundred fifteen million, three hundred seventy-two thousand, one hundred sixty".