13872000960 has 168 divisors, whose sum is σ = 47812695840. Its totient is φ = 3691542528.

The previous prime is 13872000959. The next prime is 13872000977. The reversal of 13872000960 is 6900027831.

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

It is a congruent number.

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, 1461189 + ... + 1470651.

It is an arithmetic number, because the mean of its divisors is an integer number (284599380).

Almost surely, 2^13872000960 is an apocalyptic number.

13872000960 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 13872000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23906347920).

13872000960 is an abundant number, since it is smaller than the sum of its proper divisors (33940694880).

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

13872000960 is a wasteful number, since it uses less digits than its factorization.

13872000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9995 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13872000960 in words is "thirteen billion, eight hundred seventy-two million, nine hundred sixty", and thus it is an aban number.