225495227520360 has 384 divisors, whose sum is σ = 841659963955200. Its totient is φ = 51289152929280.

The previous prime is 225495227520347. The next prime is 225495227520371. The reversal of 225495227520360 is 63025722594522.

225495227520360 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 9 + 5 + 2 + 275 + 2 + 0 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225495227520297 and 225495227520306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3630021381 + ... + 3630083499.

It is an arithmetic number, because the mean of its divisors is an integer number (2191822822800).

Almost surely, 2^{225495227520360} is an apocalyptic number.

225495227520360 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 225495227520360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420829981977600).

225495227520360 is an abundant number, since it is smaller than the sum of its proper divisors (616164736434840).

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

225495227520360 is a wasteful number, since it uses less digits than its factorization.

225495227520360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69181 (or 69174 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 225495227520360 in words is "two hundred twenty-five trillion, four hundred ninety-five billion, two hundred twenty-seven million, five hundred twenty thousand, three hundred sixty".