13879090800 has 180 divisors, whose sum is σ = 49948513160. Its totient is φ = 3701064960.

The previous prime is 13879090789. The next prime is 13879090847. The reversal of 13879090800 is 809097831.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×13879090800² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25806 + ... + 168594.

Almost surely, 2^13879090800 is an apocalyptic number.

13879090800 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 13879090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24974256580).

13879090800 is an abundant number, since it is smaller than the sum of its proper divisors (36069422360).

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

13879090800 is a wasteful number, since it uses less digits than its factorization.

13879090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142822 (or 142799 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 13879090800 in words is "thirteen billion, eight hundred seventy-nine million, ninety thousand, eight hundred".