13704088166400 has 336 divisors, whose sum is σ = 46365944559264. Its totient is φ = 3569430036480.

The previous prime is 13704088166381. The next prime is 13704088166413. The reversal of 13704088166400 is 466188040731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13704088166400.

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 23 ways as a sum of consecutive naturals, for example, 26159842 + ... + 26678558.

Almost surely, 2^{13704088166400} is an apocalyptic number.

13704088166400 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 13704088166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182972279632).

13704088166400 is an abundant number, since it is smaller than the sum of its proper divisors (32661856392864).

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

13704088166400 is an equidigital number, since it uses as much as digits as its factorization.

13704088166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518799 (or 518770 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13704088166400 in words is "thirteen trillion, seven hundred four billion, eighty-eight million, one hundred sixty-six thousand, four hundred".