13159296000 has 264 divisors, whose sum is σ = 47424633984. Its totient is φ = 3508838400.

The previous prime is 13159295953. The next prime is 13159296019. The reversal of 13159296000 is 69295131.

13159296000 is a `hidden beast` number, since 1 + 3 + 1 + 592 + 9 + 60 + 0 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1146289 + ... + 1157711.

Almost surely, 2^13159296000 is an apocalyptic number.

13159296000 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 13159296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712316992).

13159296000 is an abundant number, since it is smaller than the sum of its proper divisors (34265337984).

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

13159296000 is a wasteful number, since it uses less digits than its factorization.

13159296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13159296000 in words is "thirteen billion, one hundred fifty-nine million, two hundred ninety-six thousand".