225043660800 has 2160 divisors, whose sum is σ = 1064859344640. Its totient is φ = 45864714240.

The previous prime is 225043660753. The next prime is 225043660813. The reversal of 225043660800 is 8066340522.

225043660800 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 43 + 6 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11844403191 + ... + 11844403209.

Almost surely, 2^225043660800 is an apocalyptic number.

225043660800 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 225043660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532429672320).

225043660800 is an abundant number, since it is smaller than the sum of its proper divisors (839815683840).

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

225043660800 is an equidigital number, since it uses as much as digits as its factorization.

225043660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 225043660800 in words is "two hundred twenty-five billion, forty-three million, six hundred sixty thousand, eight hundred".