20320224000 has 288 divisors, whose sum is σ = 70435782144. Its totient is φ = 5182566400.

The previous prime is 20320223999. The next prime is 20320224017. The reversal of 20320224000 is 42202302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2203399 + ... + 2212601.

It is an arithmetic number, because the mean of its divisors is an integer number (244568688).

Almost surely, 2^20320224000 is an apocalyptic number.

20320224000 is a gapful number since it is divisible by the number (20) 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 20320224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35217891072).

20320224000 is an abundant number, since it is smaller than the sum of its proper divisors (50115558144).

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

20320224000 is an equidigital number, since it uses as much as digits as its factorization.

20320224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20320224000 its reverse (42202302), we get a palindrome (20362426302).

The spelling of 20320224000 in words is "twenty billion, three hundred twenty million, two hundred twenty-four thousand".