13682892960 has 432 divisors, whose sum is σ = 52232675040. Its totient is φ = 3260843520.

The previous prime is 13682892941. The next prime is 13682892989. The reversal of 13682892960 is 6929828631.

13682892960 is a `hidden beast` number, since 13 + 68 + 289 + 296 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13682892897 and 13682892906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231913411 + ... + 231913469.

It is an arithmetic number, because the mean of its divisors is an integer number (120908970).

Almost surely, 2^13682892960 is an apocalyptic number.

13682892960 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 13682892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26116337520).

13682892960 is an abundant number, since it is smaller than the sum of its proper divisors (38549782080).

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

13682892960 is an frugal number, since it uses more digits than its factorization.

13682892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 13682892960 in words is "thirteen billion, six hundred eighty-two million, eight hundred ninety-two thousand, nine hundred sixty".