13687750656 has 256 divisors, whose sum is σ = 41271321600. Its totient is φ = 4538695680.

The previous prime is 13687750627. The next prime is 13687750667. The reversal of 13687750656 is 65605778631.

13687750656 is a `hidden beast` number, since 1 + 3 + 6 + 87 + 7 + 506 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 71663521 + ... + 71663711.

It is an arithmetic number, because the mean of its divisors is an integer number (161216100).

Almost surely, 2^13687750656 is an apocalyptic number.

13687750656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13687750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635660800).

13687750656 is an abundant number, since it is smaller than the sum of its proper divisors (27583570944).

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

13687750656 is an frugal number, since it uses more digits than its factorization.

13687750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 13687750656 in words is "thirteen billion, six hundred eighty-seven million, seven hundred fifty thousand, six hundred fifty-six".