22608952800 has 864 divisors, whose sum is σ = 93103540992. Its totient is φ = 4732600320.

The previous prime is 22608952771. The next prime is 22608952841. The reversal of 22608952800 is 825980622.

It is a super-2 number, since 2×22608952800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85965469 + ... + 85965731.

It is an arithmetic number, because the mean of its divisors is an integer number (107758728).

Almost surely, 2^22608952800 is an apocalyptic number.

22608952800 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 22608952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46551770496).

22608952800 is an abundant number, since it is smaller than the sum of its proper divisors (70494588192).

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

22608952800 is a wasteful number, since it uses less digits than its factorization.

22608952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 22608952800 in words is "twenty-two billion, six hundred eight million, nine hundred fifty-two thousand, eight hundred".