13159872000 has 960 divisors, whose sum is σ = 54173104128. Its totient is φ = 3041280000.

The previous prime is 13159871909. The next prime is 13159872001. The reversal of 13159872000 is 27895131.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13159872001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196415967 + ... + 196416033.

Almost surely, 2^13159872000 is an apocalyptic number.

13159872000 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 13159872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27086552064).

13159872000 is an abundant number, since it is smaller than the sum of its proper divisors (41013232128).

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

13159872000 is a wasteful number, since it uses less digits than its factorization.

13159872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 13159872000 in words is "thirteen billion, one hundred fifty-nine million, eight hundred seventy-two thousand".