225299020800 has 1584 divisors, whose sum is σ = 958373303040. Its totient is φ = 46324776960.

The previous prime is 225299020787. The next prime is 225299020801. The reversal of 225299020800 is 8020992522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225299020801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1644518332 + ... + 1644518468.

Almost surely, 2^225299020800 is an apocalyptic number.

225299020800 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 225299020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479186651520).

225299020800 is an abundant number, since it is smaller than the sum of its proper divisors (733074282240).

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

225299020800 is a wasteful number, since it uses less digits than its factorization.

225299020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 225299020800 in words is "two hundred twenty-five billion, two hundred ninety-nine million, twenty thousand, eight hundred".