13687758755640 has 144 divisors (see below), whose sum is σ = 46949771302200. Its totient is φ = 3457960073856.

The previous prime is 13687758755591. The next prime is 13687758755653. The reversal of 13687758755640 is 4655785778631.

13687758755640 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 7 + 7 + 58 + 7 + 5 + 564 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52531470 + ... + 52791389.

Almost surely, 2^{13687758755640} is an apocalyptic number.

13687758755640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13687758755640 is an abundant number, since it is smaller than the sum of its proper divisors (33262012546560).

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

13687758755640 is a wasteful number, since it uses less digits than its factorization.

13687758755640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105322914 (or 105322888 counting only the distinct ones).

The product of its (nonzero) digits is 1185408000, while the sum is 72.

The spelling of 13687758755640 in words is "thirteen trillion, six hundred eighty-seven billion, seven hundred fifty-eight million, seven hundred fifty-five thousand, six hundred forty".