13086973872000 has 2048 divisors, whose sum is σ = 58203397324800. Its totient is φ = 2825531596800.

The previous prime is 13086973871963. The next prime is 13086973872029. The reversal of 13086973872000 is 27837968031.

13086973872000 is a `hidden beast` number, since 1 + 308 + 69 + 73 + 8 + 7 + 200 + 0 = 666.

13086973872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5772814867 + ... + 5772817133.

It is an arithmetic number, because the mean of its divisors is an integer number (28419627600).

Almost surely, 2^{13086973872000} is an apocalyptic number.

13086973872000 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 13086973872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29101698662400).

13086973872000 is an abundant number, since it is smaller than the sum of its proper divisors (45116423452800).

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

13086973872000 is a wasteful number, since it uses less digits than its factorization.

13086973872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13086973872000 in words is "thirteen trillion, eighty-six billion, nine hundred seventy-three million, eight hundred seventy-two thousand".