13889030400 has 1296 divisors, whose sum is σ = 62603632000. Its totient is φ = 2926264320.

The previous prime is 13889030357. The next prime is 13889030411. The reversal of 13889030400 is 403098831.

13889030400 is a `hidden beast` number, since 138 + 8 + 90 + 30 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375379182 + ... + 375379218.

Almost surely, 2^13889030400 is an apocalyptic number.

13889030400 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 13889030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31301816000).

13889030400 is an abundant number, since it is smaller than the sum of its proper divisors (48714601600).

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

13889030400 is a wasteful number, since it uses less digits than its factorization.

13889030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13889030400 in words is "thirteen billion, eight hundred eighty-nine million, thirty thousand, four hundred".