22800110400 has 252 divisors, whose sum is σ = 83229109132. Its totient is φ = 5915566080.

The previous prime is 22800110353. The next prime is 22800110413. The reversal of 22800110400 is 401100822.

It can be written as a sum of positive squares in 6 ways, for example, as 213627456 + 22586482944 = 14616^2 + 150288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 511404 + ... + 554196.

Almost surely, 2^22800110400 is an apocalyptic number.

22800110400 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 22800110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41614554566).

22800110400 is an abundant number, since it is smaller than the sum of its proper divisors (60428998732).

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

22800110400 is a wasteful number, since it uses less digits than its factorization.

22800110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42858 (or 42840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 22800110400 in words is "twenty-two billion, eight hundred million, one hundred ten thousand, four hundred".