13600224000 has 1008 divisors, whose sum is σ = 56459973024. Its totient is φ = 3234816000.

The previous prime is 13600223999. The next prime is 13600224007. The reversal of 13600224000 is 42200631.

It is a happy number.

13600224000 is a `hidden beast` number, since 1 + 3 + 600 + 22 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13600224007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 256607974 + ... + 256608026.

It is an arithmetic number, because the mean of its divisors is an integer number (56011878).

Almost surely, 2^13600224000 is an apocalyptic number.

13600224000 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 13600224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28229986512).

13600224000 is an abundant number, since it is smaller than the sum of its proper divisors (42859749024).

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

13600224000 is an frugal number, since it uses more digits than its factorization.

13600224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13600224000 its reverse (42200631), we get a palindrome (13642424631).

The spelling of 13600224000 in words is "thirteen billion, six hundred million, two hundred twenty-four thousand".