13800000000 has 360 divisors, whose sum is σ = 47953100448. Its totient is φ = 3520000000.

The previous prime is 13799999989. The next prime is 13800000013. The reversal of 13800000000 is 831.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 35 ways as a sum of consecutive naturals, for example, 599999989 + ... + 600000011.

Almost surely, 2^13800000000 is an apocalyptic number.

13800000000 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 13800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976550224).

13800000000 is an abundant number, since it is smaller than the sum of its proper divisors (34153100448).

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

13800000000 is an frugal number, since it uses more digits than its factorization.

13800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13800000000 its reverse (831), we get a palindrome (13800000831).

The spelling of 13800000000 in words is "thirteen billion, eight hundred million", and thus it is an aban number.