13759030656 has 640 divisors, whose sum is σ = 49318632000. Its totient is φ = 3804143616.

The previous prime is 13759030627. The next prime is 13759030661. The reversal of 13759030656 is 65603095731.

13759030656 is a `hidden beast` number, since 1 + 3 + 7 + 590 + 3 + 0 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188479836 + ... + 188479908.

Almost surely, 2^13759030656 is an apocalyptic number.

13759030656 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 13759030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24659316000).

13759030656 is an abundant number, since it is smaller than the sum of its proper divisors (35559601344).

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

13759030656 is an frugal number, since it uses more digits than its factorization.

13759030656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 13759030656 in words is "thirteen billion, seven hundred fifty-nine million, thirty thousand, six hundred fifty-six".