225591360000 has 800 divisors, whose sum is σ = 831126054528. Its totient is φ = 54067200000.

The previous prime is 225591359999. The next prime is 225591360083. The reversal of 225591360000 is 63195522.

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, 375359700 + ... + 375360300.

Almost surely, 2^225591360000 is an apocalyptic number.

225591360000 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 225591360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415563027264).

225591360000 is an abundant number, since it is smaller than the sum of its proper divisors (605534694528).

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

225591360000 is an equidigital number, since it uses as much as digits as its factorization.

225591360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 225591360000 in words is "two hundred twenty-five billion, five hundred ninety-one million, three hundred sixty thousand".