13379096808 has 576 divisors, whose sum is σ = 49197657600. Its totient is φ = 3353011200.

The previous prime is 13379096749. The next prime is 13379096833. The reversal of 13379096808 is 80869097331.

13379096808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 39700416 + ... + 39700752.

It is an arithmetic number, because the mean of its divisors is an integer number (85412600).

Almost surely, 2^13379096808 is an apocalyptic number.

13379096808 is a gapful number since it is divisible by the number (18) 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 13379096808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598828800).

13379096808 is an abundant number, since it is smaller than the sum of its proper divisors (35818560792).

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

13379096808 is a wasteful number, since it uses less digits than its factorization.

13379096808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 391 counting only the distinct ones).

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

The spelling of 13379096808 in words is "thirteen billion, three hundred seventy-nine million, ninety-six thousand, eight hundred eight".