22965427800 has 480 divisors, whose sum is σ = 93039804000. Its totient is φ = 5247970560.

The previous prime is 22965427753. The next prime is 22965427811. The reversal of 22965427800 is 872456922.

22965427800 is a `hidden beast` number, since 2 + 29 + 6 + 542 + 7 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 5554534 + ... + 5558666.

It is an arithmetic number, because the mean of its divisors is an integer number (193832925).

Almost surely, 2^22965427800 is an apocalyptic number.

22965427800 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 22965427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46519902000).

22965427800 is an abundant number, since it is smaller than the sum of its proper divisors (70074376200).

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

22965427800 is a wasteful number, since it uses less digits than its factorization.

22965427800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22965427800 in words is "twenty-two billion, nine hundred sixty-five million, four hundred twenty-seven thousand, eight hundred".