22488106852800 has 882 divisors, whose sum is σ = 87562240875168. Its totient is φ = 5681099566080.

The previous prime is 22488106852769. The next prime is 22488106852811. The reversal of 22488106852800 is 825860188422.

22488106852800 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 8 + 106 + 8 + 528 + 0 + 0 = 666.

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 125 ways as a sum of consecutive naturals, for example, 421043697 + ... + 421097103.

Almost surely, 2^{22488106852800} is an apocalyptic number.

22488106852800 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 22488106852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781120437584).

22488106852800 is an abundant number, since it is smaller than the sum of its proper divisors (65074134022368).

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

22488106852800 is an equidigital number, since it uses as much as digits as its factorization.

22488106852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53485 (or 53436 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 22488106852800 in words is "twenty-two trillion, four hundred eighty-eight billion, one hundred six million, eight hundred fifty-two thousand, eight hundred".