13684560400 has 60 divisors (see below), whose sum is σ = 37573900672. Its totient is φ = 4691848320.

The previous prime is 13684560353. The next prime is 13684560403. The reversal of 13684560400 is 406548631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13684560400.

It is not an unprimeable number, because it can be changed into a prime (13684560403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2440872 + ... + 2446471.

Almost surely, 2^13684560400 is an apocalyptic number.

13684560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13684560400 is an abundant number, since it is smaller than the sum of its proper divisors (23889340272).

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

13684560400 is a wasteful number, since it uses less digits than its factorization.

13684560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887368 (or 4887357 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 13684560400 in words is "thirteen billion, six hundred eighty-four million, five hundred sixty thousand, four hundred".