13379096808000 has 4032 divisors, whose sum is σ = 64980266158080. Its totient is φ = 2682408960000.

The previous prime is 13379096807987. The next prime is 13379096808137. The reversal of 13379096808000 is 80869097331.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39700583832 + ... + 39700584168.

It is an arithmetic number, because the mean of its divisors is an integer number (16116137440).

Almost surely, 2^{13379096808000} is an apocalyptic number.

13379096808000 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 13379096808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32490133079040).

13379096808000 is an abundant number, since it is smaller than the sum of its proper divisors (51601169350080).

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

13379096808000 is a wasteful number, since it uses less digits than its factorization.

13379096808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13379096808000 in words is "thirteen trillion, three hundred seventy-nine billion, ninety-six million, eight hundred eight thousand".