13380600800 has 144 divisors (see below), whose sum is σ = 37522598400. Its totient is φ = 4564200960.

The previous prime is 13380600791. The next prime is 13380600811. The reversal of 13380600800 is 800608331.

13380600800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1108397 + ... + 1120403.

It is an arithmetic number, because the mean of its divisors is an integer number (260573600).

Almost surely, 2^13380600800 is an apocalyptic number.

13380600800 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 13380600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18761299200).

13380600800 is an abundant number, since it is smaller than the sum of its proper divisors (24141997600).

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

13380600800 is a wasteful number, since it uses less digits than its factorization.

13380600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 13380600800 in words is "thirteen billion, three hundred eighty million, six hundred thousand, eight hundred".