13982808320000 has 960 divisors, whose sum is σ = 40490683833600. Its totient is φ = 4781998080000.

The previous prime is 13982808319999. The next prime is 13982808320011. The reversal of 13982808320000 is 2380828931.

It is a super-2 number, since 2×13982808320000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14859519530 + ... + 14859520470.

It is an arithmetic number, because the mean of its divisors is an integer number (42177795660).

Almost surely, 2^{13982808320000} is an apocalyptic number.

13982808320000 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 13982808320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245341916800).

13982808320000 is an abundant number, since it is smaller than the sum of its proper divisors (26507875513600).

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

13982808320000 is an equidigital number, since it uses as much as digits as its factorization.

13982808320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 13982808320000 in words is "thirteen trillion, nine hundred eighty-two billion, eight hundred eight million, three hundred twenty thousand".