22753130400 has 1944 divisors, whose sum is σ = 113174717292. Its totient is φ = 4257792000.

The previous prime is 22753130371. The next prime is 22753130417. The reversal of 22753130400 is 403135722.

22753130400 is a `hidden beast` number, since 227 + 5 + 3 + 1 + 30 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 622402704 + 22130727696 = 24948^2 + 148764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 554954380 + ... + 554954420.

Almost surely, 2^22753130400 is an apocalyptic number.

22753130400 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 22753130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56587358646).

22753130400 is an abundant number, since it is smaller than the sum of its proper divisors (90421586892).

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

22753130400 is a wasteful number, since it uses less digits than its factorization.

22753130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 22753130400 in words is "twenty-two billion, seven hundred fifty-three million, one hundred thirty thousand, four hundred".