22821105600 has 252 divisors, whose sum is σ = 82489441320. Its totient is φ = 5982259200.

The previous prime is 22821105577. The next prime is 22821105617. The reversal of 22821105600 is 650112822.

It is a happy number.

22821105600 is a `hidden beast` number, since 2 + 28 + 21 + 10 + 5 + 600 = 666.

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 35 ways as a sum of consecutive naturals, for example, 836170 + ... + 863030.

Almost surely, 2^22821105600 is an apocalyptic number.

22821105600 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 22821105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41244720660).

22821105600 is an abundant number, since it is smaller than the sum of its proper divisors (59668335720).

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

22821105600 is a wasteful number, since it uses less digits than its factorization.

22821105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26948 (or 26930 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 22821105600 in words is "twenty-two billion, eight hundred twenty-one million, one hundred five thousand, six hundred".