13104357696000 has 1920 divisors, whose sum is σ = 50677345585152. Its totient is φ = 3249192960000.

The previous prime is 13104357695999. The next prime is 13104357696013. The reversal of 13104357696000 is 69675340131.

It is a happy number.

13104357696000 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 35 + 7 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 57728447887 + ... + 57728448113.

Almost surely, 2^{13104357696000} is an apocalyptic number.

13104357696000 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 13104357696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338672792576).

13104357696000 is an abundant number, since it is smaller than the sum of its proper divisors (37572987889152).

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

13104357696000 is a wasteful number, since it uses less digits than its factorization.

13104357696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13104357696000 in words is "thirteen trillion, one hundred four billion, three hundred fifty-seven million, six hundred ninety-six thousand".