13399884000 has 384 divisors, whose sum is σ = 49717100160. Its totient is φ = 3504384000.

The previous prime is 13399883971. The next prime is 13399884011. The reversal of 13399884000 is 48899331.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5722830 + ... + 5725170.

It is an arithmetic number, because the mean of its divisors is an integer number (129471615).

Almost surely, 2^13399884000 is an apocalyptic number.

13399884000 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 13399884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24858550080).

13399884000 is an abundant number, since it is smaller than the sum of its proper divisors (36317216160).

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

13399884000 is a wasteful number, since it uses less digits than its factorization.

13399884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13399884000 in words is "thirteen billion, three hundred ninety-nine million, eight hundred eighty-four thousand".