13693965068160 has 384 divisors, whose sum is σ = 50969853043200. Its totient is φ = 3367815708672.

The previous prime is 13693965068149. The next prime is 13693965068207. The reversal of 13693965068160 is 6186056939631.

13693965068160 is a `hidden beast` number, since 1 + 3 + 69 + 3 + 9 + 6 + 506 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84458529 + ... + 84620511.

It is an arithmetic number, because the mean of its divisors is an integer number (132733992300).

Almost surely, 2^{13693965068160} is an apocalyptic number.

13693965068160 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 13693965068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25484926521600).

13693965068160 is an abundant number, since it is smaller than the sum of its proper divisors (37275887975040).

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

13693965068160 is a wasteful number, since it uses less digits than its factorization.

13693965068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163150 (or 163135 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 13693965068160 in words is "thirteen trillion, six hundred ninety-three billion, nine hundred sixty-five million, sixty-eight thousand, one hundred sixty".