13799137901328 has 480 divisors, whose sum is σ = 43153078026240. Its totient is φ = 4087703854080.

The previous prime is 13799137901323. The next prime is 13799137901371. The reversal of 13799137901328 is 82310973199731.

13799137901328 is a `hidden beast` number, since 1 + 3 + 7 + 99 + 137 + 90 + 1 + 328 = 666.

13799137901328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13799137901323) 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, 15989730625 + ... + 15989731487.

It is an arithmetic number, because the mean of its divisors is an integer number (89902245888).

Almost surely, 2^{13799137901328} is an apocalyptic number.

13799137901328 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 13799137901328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576539013120).

13799137901328 is an abundant number, since it is smaller than the sum of its proper divisors (29353940124912).

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

13799137901328 is a wasteful number, since it uses less digits than its factorization.

13799137901328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 13799137901328 in words is "thirteen trillion, seven hundred ninety-nine billion, one hundred thirty-seven million, nine hundred one thousand, three hundred twenty-eight".