13680588540 has 24 divisors (see below), whose sum is σ = 38305648080. Its totient is φ = 3648156928.

The previous prime is 13680588529. The next prime is 13680588611. The reversal of 13680588540 is 4588508631.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13680588540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114004845 + ... + 114004964.

It is an arithmetic number, because the mean of its divisors is an integer number (1596068670).

Almost surely, 2^13680588540 is an apocalyptic number.

13680588540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13680588540 is an abundant number, since it is smaller than the sum of its proper divisors (24625059540).

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

13680588540 is a wasteful number, since it uses less digits than its factorization.

13680588540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228009821 (or 228009819 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 13680588540 in words is "thirteen billion, six hundred eighty million, five hundred eighty-eight thousand, five hundred forty".