225775680000 has 800 divisors, whose sum is σ = 823251475200. Its totient is φ = 54632448000.

The previous prime is 225775679939. The next prime is 225775680017. The reversal of 225775680000 is 86577522.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 985919886 + ... + 985920114.

It is an arithmetic number, because the mean of its divisors is an integer number (1029064344).

Almost surely, 2^225775680000 is an apocalyptic number.

225775680000 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 225775680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411625737600).

225775680000 is an abundant number, since it is smaller than the sum of its proper divisors (597475795200).

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

225775680000 is an equidigital number, since it uses as much as digits as its factorization.

225775680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 225775680000 in words is "two hundred twenty-five billion, seven hundred seventy-five million, six hundred eighty thousand".