22788334800 has 960 divisors, whose sum is σ = 102883891200. Its totient is φ = 4653158400.

The previous prime is 22788334757. The next prime is 22788334813. The reversal of 22788334800 is 843388722.

22788334800 is a `hidden beast` number, since 22 + 78 + 83 + 3 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55716996 + ... + 55717404.

It is an arithmetic number, because the mean of its divisors is an integer number (107170720).

Almost surely, 2^22788334800 is an apocalyptic number.

22788334800 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 22788334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51441945600).

22788334800 is an abundant number, since it is smaller than the sum of its proper divisors (80095556400).

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

22788334800 is a wasteful number, since it uses less digits than its factorization.

22788334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22788334800 in words is "twenty-two billion, seven hundred eighty-eight million, three hundred thirty-four thousand, eight hundred".