13194096814080 has 2304 divisors, whose sum is σ = 58197013056000. Its totient is φ = 2746786775040.

The previous prime is 13194096814069. The next prime is 13194096814201. The reversal of 13194096814080 is 8041869049131.

13194096814080 is a `hidden beast` number, since 1 + 3 + 19 + 409 + 6 + 8 + 140 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39861319515 + ... + 39861319845.

It is an arithmetic number, because the mean of its divisors is an integer number (25259120250).

Almost surely, 2^{13194096814080} is an apocalyptic number.

13194096814080 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 13194096814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29098506528000).

13194096814080 is an abundant number, since it is smaller than the sum of its proper divisors (45002916241920).

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

13194096814080 is a wasteful number, since it uses less digits than its factorization.

13194096814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 13194096814080 in words is "thirteen trillion, one hundred ninety-four billion, ninety-six million, eight hundred fourteen thousand, eighty".