13878086820 has 288 divisors, whose sum is σ = 44363160576. Its totient is φ = 3218227200.

The previous prime is 13878086813. The next prime is 13878086857. The reversal of 13878086820 is 2868087831.

13878086820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 143073012 + ... + 143073108.

It is an arithmetic number, because the mean of its divisors is an integer number (154038752).

Almost surely, 2^13878086820 is an apocalyptic number.

13878086820 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 13878086820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22181580288).

13878086820 is an abundant number, since it is smaller than the sum of its proper divisors (30485073756).

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

13878086820 is a wasteful number, since it uses less digits than its factorization.

13878086820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 13878086820 in words is "thirteen billion, eight hundred seventy-eight million, eighty-six thousand, eight hundred twenty".