13680893140992 has 1344 divisors, whose sum is σ = 51472355800320. Its totient is φ = 3398329958400.

The previous prime is 13680893140991. The next prime is 13680893140997. The reversal of 13680893140992 is 29904139808631.

13680893140992 is a `hidden beast` number, since 1 + 3 + 68 + 0 + 89 + 3 + 1 + 409 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13680893140991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12336242134 + ... + 12336243242.

It is an arithmetic number, because the mean of its divisors is an integer number (38297883780).

Almost surely, 2^{13680893140992} is an apocalyptic number.

13680893140992 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 13680893140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736177900160).

13680893140992 is an abundant number, since it is smaller than the sum of its proper divisors (37791462659328).

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

13680893140992 is a wasteful number, since it uses less digits than its factorization.

13680893140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 13680893140992 in words is "thirteen trillion, six hundred eighty billion, eight hundred ninety-three million, one hundred forty thousand, nine hundred ninety-two".