13681795680 has 432 divisors, whose sum is σ = 54899208000. Its totient is φ = 3093479424.

The previous prime is 13681795661. The next prime is 13681795681. The reversal of 13681795680 is 8659718631.

13681795680 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 1 + 79 + 568 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681795681) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6843321 + ... + 6845319.

It is an arithmetic number, because the mean of its divisors is an integer number (127081500).

Almost surely, 2^13681795680 is an apocalyptic number.

13681795680 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 13681795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449604000).

13681795680 is an abundant number, since it is smaller than the sum of its proper divisors (41217412320).

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

13681795680 is a wasteful number, since it uses less digits than its factorization.

13681795680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 13681795680 in words is "thirteen billion, six hundred eighty-one million, seven hundred ninety-five thousand, six hundred eighty".