22516322400 has 864 divisors, whose sum is σ = 98273710080. Its totient is φ = 4769280000.

The previous prime is 22516322393. The next prime is 22516322407. The reversal of 22516322400 is 422361522.

It is a happy number.

22516322400 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 632 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22516322393) and next prime (22516322407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22516322407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19561825 + ... + 19562975.

It is an arithmetic number, because the mean of its divisors is an integer number (113742720).

Almost surely, 2^22516322400 is an apocalyptic number.

22516322400 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 22516322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49136855040).

22516322400 is an abundant number, since it is smaller than the sum of its proper divisors (75757387680).

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

22516322400 is a wasteful number, since it uses less digits than its factorization.

22516322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22516322400 its reverse (422361522), we get a palindrome (22938683922).

The spelling of 22516322400 in words is "twenty-two billion, five hundred sixteen million, three hundred twenty-two thousand, four hundred".