13758565680 has 120 divisors (see below), whose sum is σ = 47189068992. Its totient is φ = 3590879232.

The previous prime is 13758565643. The next prime is 13758565721. The reversal of 13758565680 is 8656585731.

13758565680 is a `hidden beast` number, since 1 + 3 + 7 + 585 + 6 + 56 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169449 + ... + 237128.

Almost surely, 2^13758565680 is an apocalyptic number.

13758565680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758565680 is an abundant number, since it is smaller than the sum of its proper divisors (33430503312).

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

13758565680 is a wasteful number, since it uses less digits than its factorization.

13758565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406643 (or 406634 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 13758565680 in words is "thirteen billion, seven hundred fifty-eight million, five hundred sixty-five thousand, six hundred eighty".