13686505440 has 96 divisors (see below), whose sum is σ = 43597038240. Its totient is φ = 3608715264.

The previous prime is 13686505397. The next prime is 13686505447. The reversal of 13686505440 is 4450568631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13686505392 and 13686505401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13686505447) 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, 117469 + ... + 202908.

It is an arithmetic number, because the mean of its divisors is an integer number (454135815).

Almost surely, 2^13686505440 is an apocalyptic number.

13686505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13686505440 is an abundant number, since it is smaller than the sum of its proper divisors (29910532800).

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

13686505440 is a wasteful number, since it uses less digits than its factorization.

13686505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320484 (or 320476 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 13686505440 in words is "thirteen billion, six hundred eighty-six million, five hundred five thousand, four hundred forty".