13288792320 has 432 divisors, whose sum is σ = 47997960192. Its totient is φ = 3390750720.

The previous prime is 13288792259. The next prime is 13288792327. The reversal of 13288792320 is 2329788231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13288792327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45354094 + ... + 45354386.

Almost surely, 2^13288792320 is an apocalyptic number.

13288792320 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 13288792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998980096).

13288792320 is an abundant number, since it is smaller than the sum of its proper divisors (34709167872).

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

13288792320 is a wasteful number, since it uses less digits than its factorization.

13288792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13288792320 in words is "thirteen billion, two hundred eighty-eight million, seven hundred ninety-two thousand, three hundred twenty".