22775961600 has 864 divisors, whose sum is σ = 97591253760. Its totient is φ = 4963368960.

The previous prime is 22775961587. The next prime is 22775961629. The reversal of 22775961600 is 616957722.

22775961600 is a `hidden beast` number, since 2 + 27 + 7 + 5 + 9 + 616 + 0 + 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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74188647 + ... + 74188953.

It is an arithmetic number, because the mean of its divisors is an integer number (112952840).

Almost surely, 2^22775961600 is an apocalyptic number.

22775961600 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 22775961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48795626880).

22775961600 is an abundant number, since it is smaller than the sum of its proper divisors (74815292160).

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

22775961600 is a wasteful number, since it uses less digits than its factorization.

22775961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 22775961600 in words is "twenty-two billion, seven hundred seventy-five million, nine hundred sixty-one thousand, six hundred".