13982711685120 has 224 divisors, whose sum is σ = 49713277703040. Its totient is φ = 3728722821120.

The previous prime is 13982711685109. The next prime is 13982711685121. The reversal of 13982711685120 is 2158611728931.

13982711685120 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 7 + 116 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13982711685121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215836 + ... + 7427675.

It is an arithmetic number, because the mean of its divisors is an integer number (221934275460).

Almost surely, 2^{13982711685120} is an apocalyptic number.

13982711685120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13982711685120 is an abundant number, since it is smaller than the sum of its proper divisors (35730566017920).

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

13982711685120 is an equidigital number, since it uses as much as digits as its factorization.

13982711685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643551 (or 12643521 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 13982711685120 in words is "thirteen trillion, nine hundred eighty-two billion, seven hundred eleven million, six hundred eighty-five thousand, one hundred twenty".