13379638168800 has 576 divisors, whose sum is σ = 50137660359360. Its totient is φ = 3440729456640.

The previous prime is 13379638168753. The next prime is 13379638168807. The reversal of 13379638168800 is 886183697331.

13379638168800 is a `hidden beast` number, since 1 + 3 + 37 + 96 + 381 + 68 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379638168807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90235524 + ... + 90383676.

It is an arithmetic number, because the mean of its divisors is an integer number (87044549235).

Almost surely, 2^{13379638168800} is an apocalyptic number.

13379638168800 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 13379638168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068830179680).

13379638168800 is an abundant number, since it is smaller than the sum of its proper divisors (36758022190560).

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

13379638168800 is a wasteful number, since it uses less digits than its factorization.

13379638168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148332 (or 148313 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 13379638168800 in words is "thirteen trillion, three hundred seventy-nine billion, six hundred thirty-eight million, one hundred sixty-eight thousand, eight hundred".