13289388988680 has 1152 divisors, whose sum is σ = 56067909281280. Its totient is φ = 2663836139520.

The previous prime is 13289388988679. The next prime is 13289388988739. The reversal of 13289388988680 is 8688988398231.

13289388988680 is a `hidden beast` number, since 1 + 3 + 2 + 89 + 388 + 9 + 8 + 86 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13289388988680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 943372597 + ... + 943386683.

It is an arithmetic number, because the mean of its divisors is an integer number (48670060140).

Almost surely, 2^{13289388988680} is an apocalyptic number.

13289388988680 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 13289388988680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28033954640640).

13289388988680 is an abundant number, since it is smaller than the sum of its proper divisors (42778520292600).

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

13289388988680 is a wasteful number, since it uses less digits than its factorization.

13289388988680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14227 (or 14201 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 81.

The spelling of 13289388988680 in words is "thirteen trillion, two hundred eighty-nine billion, three hundred eighty-eight million, nine hundred eighty-eight thousand, six hundred eighty".