13792459290 has 256 divisors, whose sum is σ = 37129052160. Its totient is φ = 3265920000.

The previous prime is 13792459279. The next prime is 13792459313. The reversal of 13792459290 is 9295429731.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91340715 + ... + 91340865.

It is an arithmetic number, because the mean of its divisors is an integer number (145035360).

Almost surely, 2^13792459290 is an apocalyptic number.

13792459290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13792459290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564526080).

13792459290 is an abundant number, since it is smaller than the sum of its proper divisors (23336592870).

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

13792459290 is a wasteful number, since it uses less digits than its factorization.

13792459290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 13792459290 in words is "thirteen billion, seven hundred ninety-two million, four hundred fifty-nine thousand, two hundred ninety".