13680908593992 has 256 divisors, whose sum is σ = 38619504000000. Its totient is φ = 4486763409408.

The previous prime is 13680908593939. The next prime is 13680908593993. The reversal of 13680908593992 is 29939580908631.

It is a happy number.

13680908593992 is a `hidden beast` number, since 1 + 368 + 0 + 90 + 8 + 5 + 93 + 9 + 92 = 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 13680908593992.

It is not an unprimeable number, because it can be changed into a prime (13680908593993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5304732559 + ... + 5304735137.

It is an arithmetic number, because the mean of its divisors is an integer number (150857437500).

Almost surely, 2^{13680908593992} is an apocalyptic number.

13680908593992 is a gapful number since it is divisible by the number (12) 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 13680908593992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309752000000).

13680908593992 is an abundant number, since it is smaller than the sum of its proper divisors (24938595406008).

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

13680908593992 is a wasteful number, since it uses less digits than its factorization.

13680908593992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 13680908593992 in words is "thirteen trillion, six hundred eighty billion, nine hundred eight million, five hundred ninety-three thousand, nine hundred ninety-two".