13159304928 has 384 divisors, whose sum is σ = 48120791040. Its totient is φ = 3398837760.

The previous prime is 13159304927. The next prime is 13159304929. The reversal of 13159304928 is 82940395131.

It is a happy number.

13159304928 is a `hidden beast` number, since 1 + 3 + 159 + 3 + 0 + 492 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13159304927) and next prime (13159304929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13159304927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14835301 + ... + 14836187.

It is an arithmetic number, because the mean of its divisors is an integer number (125314560).

Almost surely, 2^13159304928 is an apocalyptic number.

13159304928 is a gapful number since it is divisible by the number (18) 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 13159304928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060395520).

13159304928 is an abundant number, since it is smaller than the sum of its proper divisors (34961486112).

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

13159304928 is a wasteful number, since it uses less digits than its factorization.

13159304928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13159304928 in words is "thirteen billion, one hundred fifty-nine million, three hundred four thousand, nine hundred twenty-eight".