13788656231760 has 480 divisors, whose sum is σ = 49633791567360. Its totient is φ = 3420211018752.

The previous prime is 13788656231711. The next prime is 13788656231773. The reversal of 13788656231760 is 6713265688731.

It is a happy number.

13788656231760 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 6 + 562 + 3 + 1 + 7 + 60 = 666.

13788656231760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281359419 + ... + 281408421.

It is an arithmetic number, because the mean of its divisors is an integer number (103403732432).

Almost surely, 2^{13788656231760} is an apocalyptic number.

13788656231760 is a gapful number since it is divisible by the number (10) 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 13788656231760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816895783680).

13788656231760 is an abundant number, since it is smaller than the sum of its proper divisors (35845135335600).

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

13788656231760 is a wasteful number, since it uses less digits than its factorization.

13788656231760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49415 (or 49406 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 13788656231760 in words is "thirteen trillion, seven hundred eighty-eight billion, six hundred fifty-six million, two hundred thirty-one thousand, seven hundred sixty".