13682213600 has 72 divisors (see below), whose sum is σ = 36438245928. Its totient is φ = 4975347200.

The previous prime is 13682213579. The next prime is 13682213639. The reversal of 13682213600 is 631228631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768599 + ... + 786198.

It is an arithmetic number, because the mean of its divisors is an integer number (506086749).

Almost surely, 2^13682213600 is an apocalyptic number.

13682213600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13682213600 is an abundant number, since it is smaller than the sum of its proper divisors (22756032328).

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

13682213600 is a wasteful number, since it uses less digits than its factorization.

13682213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554828 (or 1554815 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 13682213600 in words is "thirteen billion, six hundred eighty-two million, two hundred thirteen thousand, six hundred".