22027224616800 has 1728 divisors, whose sum is σ = 82898086182912. Its totient is φ = 5069675520000.

The previous prime is 22027224616753. The next prime is 22027224616801. The reversal of 22027224616800 is 861642272022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22027224616801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70827088645 + ... + 70827088955.

It is an arithmetic number, because the mean of its divisors is an integer number (47973429504).

Almost surely, 2^{22027224616800} is an apocalyptic number.

22027224616800 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 22027224616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41449043091456).

22027224616800 is an abundant number, since it is smaller than the sum of its proper divisors (60870861566112).

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

22027224616800 is a wasteful number, since it uses less digits than its factorization.

22027224616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

Adding to 22027224616800 its reverse (861642272022), we get a palindrome (22888866888822).

The spelling of 22027224616800 in words is "twenty-two trillion, twenty-seven billion, two hundred twenty-four million, six hundred sixteen thousand, eight hundred".