13379000800 has 72 divisors (see below), whose sum is σ = 35630735112. Its totient is φ = 4865088000.

The previous prime is 13379000753. The next prime is 13379000809. The reversal of 13379000800 is 800097331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379000809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751371 + ... + 768970.

It is an arithmetic number, because the mean of its divisors is an integer number (494871321).

Almost surely, 2^13379000800 is an apocalyptic number.

13379000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13379000800 is an abundant number, since it is smaller than the sum of its proper divisors (22251734312).

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

13379000800 is a wasteful number, since it uses less digits than its factorization.

13379000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520372 (or 1520359 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 13379000800 in words is "thirteen billion, three hundred seventy-nine million, eight hundred", and thus it is an aban number.