20242320023200 has 288 divisors, whose sum is σ = 54298418428800. Its totient is φ = 7307719987200.

The previous prime is 20242320023183. The next prime is 20242320023287. The reversal of 20242320023200 is 232002324202.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5044184394 + ... + 5044188406.

It is an arithmetic number, because the mean of its divisors is an integer number (188536175100).

Almost surely, 2^{20242320023200} is an apocalyptic number.

20242320023200 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 20242320023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27149209214400).

20242320023200 is an abundant number, since it is smaller than the sum of its proper divisors (34056098405600).

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

20242320023200 is a wasteful number, since it uses less digits than its factorization.

20242320023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20242320023200 its reverse (232002324202), we get a palindrome (20474322347402).

The spelling of 20242320023200 in words is "twenty trillion, two hundred forty-two billion, three hundred twenty million, twenty-three thousand, two hundred".