13680908593968 has 480 divisors, whose sum is σ = 45223579791360. Its totient is φ = 3462242434560.

The previous prime is 13680908593939. The next prime is 13680908593993. The reversal of 13680908593968 is 86939580908631.

It is a self number, because there is not a number n which added to its sum of digits gives 13680908593968.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027417213 + ... + 3027421731.

It is an arithmetic number, because the mean of its divisors is an integer number (94215791232).

Almost surely, 2^{13680908593968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680908593968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22611789895680).

13680908593968 is an abundant number, since it is smaller than the sum of its proper divisors (31542671197392).

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

13680908593968 is a wasteful number, since it uses less digits than its factorization.

13680908593968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 75.

The spelling of 13680908593968 in words is "thirteen trillion, six hundred eighty billion, nine hundred eight million, five hundred ninety-three thousand, nine hundred sixty-eight".