13879283200 has 120 divisors (see below), whose sum is σ = 34489790280. Its totient is φ = 5535129600.

The previous prime is 13879283183. The next prime is 13879283221. The reversal of 13879283200 is 238297831.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 4849770 + ... + 4852630.

It is an arithmetic number, because the mean of its divisors is an integer number (287414919).

Almost surely, 2^13879283200 is an apocalyptic number.

13879283200 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 13879283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244895140).

13879283200 is an abundant number, since it is smaller than the sum of its proper divisors (20610507080).

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

13879283200 is an equidigital number, since it uses as much as digits as its factorization.

13879283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 13879283200 in words is "thirteen billion, eight hundred seventy-nine million, two hundred eighty-three thousand, two hundred".