13890333600 has 720 divisors, whose sum is σ = 59550876000. Its totient is φ = 3106252800.

The previous prime is 13890333563. The next prime is 13890333601. The reversal of 13890333600 is 633309831.

13890333600 is a `hidden beast` number, since 13 + 8 + 9 + 0 + 3 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (13890333601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9265651 + ... + 9267149.

It is an arithmetic number, because the mean of its divisors is an integer number (82709550).

Almost surely, 2^13890333600 is an apocalyptic number.

13890333600 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 13890333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29775438000).

13890333600 is an abundant number, since it is smaller than the sum of its proper divisors (45660542400).

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

13890333600 is a wasteful number, since it uses less digits than its factorization.

13890333600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13890333600 in words is "thirteen billion, eight hundred ninety million, three hundred thirty-three thousand, six hundred".