13999016592000 has 768 divisors, whose sum is σ = 56676946435200. Its totient is φ = 3393688320000.

The previous prime is 13999016591951. The next prime is 13999016592023. The reversal of 13999016592000 is 29561099931.

13999016592000 is a `hidden beast` number, since 1 + 39 + 9 + 9 + 0 + 16 + 592 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52138095 + ... + 52405905.

Almost surely, 2^{13999016592000} is an apocalyptic number.

13999016592000 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 13999016592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28338473217600).

13999016592000 is an abundant number, since it is smaller than the sum of its proper divisors (42677929843200).

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

13999016592000 is a wasteful number, since it uses less digits than its factorization.

13999016592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267871 (or 267832 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 13999016592000 in words is "thirteen trillion, nine hundred ninety-nine billion, sixteen million, five hundred ninety-two thousand".