13731072800768 has 192 divisors, whose sum is σ = 28584230875200. Its totient is φ = 6586458439680.

The previous prime is 13731072800761. The next prime is 13731072800833. The reversal of 13731072800768 is 86700827013731.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731072800761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6889649180 + ... + 6889651172.

It is an arithmetic number, because the mean of its divisors is an integer number (148876202475).

Almost surely, 2^{13731072800768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13731072800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292115437600).

13731072800768 is an abundant number, since it is smaller than the sum of its proper divisors (14853158074432).

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

13731072800768 is a wasteful number, since it uses less digits than its factorization.

13731072800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 53.

The spelling of 13731072800768 in words is "thirteen trillion, seven hundred thirty-one billion, seventy-two million, eight hundred thousand, seven hundred sixty-eight".