13999317319680 has 2304 divisors, whose sum is σ = 61074201968640. Its totient is φ = 2649961267200.

The previous prime is 13999317319657. The next prime is 13999317319693. The reversal of 13999317319680 is 8691371399931.

It is a congruent number.

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, 89167626162 + ... + 89167626318.

It is an arithmetic number, because the mean of its divisors is an integer number (26507900160).

Almost surely, 2^{13999317319680} is an apocalyptic number.

13999317319680 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 13999317319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30537100984320).

13999317319680 is an abundant number, since it is smaller than the sum of its proper divisors (47074884648960).

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

13999317319680 is a wasteful number, since it uses less digits than its factorization.

13999317319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 59521392, while the sum is 69.

The spelling of 13999317319680 in words is "thirteen trillion, nine hundred ninety-nine billion, three hundred seventeen million, three hundred nineteen thousand, six hundred eighty".