13899878400 has 156 divisors (see below), whose sum is σ = 45957669632. Its totient is φ = 3706552320.

The previous prime is 13899878387. The next prime is 13899878407. The reversal of 13899878400 is 487899831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13899878407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284577 + ... + 329823.

Almost surely, 2^13899878400 is an apocalyptic number.

13899878400 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 13899878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22978834816).

13899878400 is an abundant number, since it is smaller than the sum of its proper divisors (32057791232).

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

13899878400 is an equidigital number, since it uses as much as digits as its factorization.

13899878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45284 (or 45257 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

It can be divided in two parts, 1389 and 9878400, that added together give a palindrome (9879789).

The spelling of 13899878400 in words is "thirteen billion, eight hundred ninety-nine million, eight hundred seventy-eight thousand, four hundred".