13889126400 has 360 divisors, whose sum is σ = 46807004160. Its totient is φ = 3633315840.

The previous prime is 13889126389. The next prime is 13889126413. The reversal of 13889126400 is 462198831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109363137 + ... + 109363263.

It is an arithmetic number, because the mean of its divisors is an integer number (130019456).

Almost surely, 2^13889126400 is an apocalyptic number.

13889126400 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 13889126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23403502080).

13889126400 is an abundant number, since it is smaller than the sum of its proper divisors (32917877760).

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

13889126400 is an equidigital number, since it uses as much as digits as its factorization.

13889126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 13889126400 in words is "thirteen billion, eight hundred eighty-nine million, one hundred twenty-six thousand, four hundred".