225567748800 has 252 divisors, whose sum is σ = 820367965560. Its totient is φ = 58752368640.

The previous prime is 225567748799. The next prime is 225567748817. The reversal of 225567748800 is 8847765522.

225567748800 is a `hidden beast` number, since 2 + 2 + 5 + 567 + 74 + 8 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437056 + ... + 801344.

Almost surely, 2^225567748800 is an apocalyptic number.

225567748800 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 225567748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410183982780).

225567748800 is an abundant number, since it is smaller than the sum of its proper divisors (594800216760).

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

225567748800 is a wasteful number, since it uses less digits than its factorization.

225567748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364360 (or 364342 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 225567748800 in words is "two hundred twenty-five billion, five hundred sixty-seven million, seven hundred forty-eight thousand, eight hundred".