13379891200 has 468 divisors, whose sum is σ = 39317127640. Its totient is φ = 4476764160.

The previous prime is 13379891167. The next prime is 13379891207. The reversal of 13379891200 is 219897331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379891207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581734389 + ... + 581734411.

Almost surely, 2^13379891200 is an apocalyptic number.

13379891200 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 13379891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658563820).

13379891200 is an abundant number, since it is smaller than the sum of its proper divisors (25937236440).

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

13379891200 is a wasteful number, since it uses less digits than its factorization.

13379891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 13379891200 in words is "thirteen billion, three hundred seventy-nine million, eight hundred ninety-one thousand, two hundred".