13004895769992 has 128 divisors (see below), whose sum is σ = 41456693203200. Its totient is φ = 3700266624000.

The previous prime is 13004895769981. The next prime is 13004895770017. The reversal of 13004895769992 is 29996759840031.

13004895769992 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 48 + 9 + 576 + 9 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13004895769992.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17480259 + ... + 18209042.

It is an arithmetic number, because the mean of its divisors is an integer number (323880415650).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13004895769992 = 26009791539984, but 3⋅13004895769992 = 39014687309976 is not.

Almost surely, 2^{13004895769992} is an apocalyptic number.

13004895769992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13004895769992 is an abundant number, since it is smaller than the sum of its proper divisors (28451797433208).

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

13004895769992 is a wasteful number, since it uses less digits than its factorization.

13004895769992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35689564 (or 35689554 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 13004895769992 in words is "thirteen trillion, four billion, eight hundred ninety-five million, seven hundred sixty-nine thousand, nine hundred ninety-two".