13598668800 has 432 divisors, whose sum is σ = 50551530120. Its totient is φ = 3622993920.

The previous prime is 13598668763. The next prime is 13598668861. The reversal of 13598668800 is 886689531.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441054 + ... + 12442146.

Almost surely, 2^13598668800 is an apocalyptic number.

13598668800 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 13598668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275765060).

13598668800 is an abundant number, since it is smaller than the sum of its proper divisors (36952861320).

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

13598668800 is an equidigital number, since it uses as much as digits as its factorization.

13598668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 13598668800 in words is "thirteen billion, five hundred ninety-eight million, six hundred sixty-eight thousand, eight hundred".