225917067600 has 1350 divisors, whose sum is σ = 989629218270. Its totient is φ = 49209431040.

The previous prime is 225917067587. The next prime is 225917067611. The reversal of 225917067600 is 6760719522.

225917067600 is a `hidden beast` number, since 2 + 25 + 9 + 17 + 0 + 6 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33593616 + 225883473984 = 5796^2 + 475272^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 839840266 + ... + 839840534.

Almost surely, 2^225917067600 is an apocalyptic number.

225917067600 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 225917067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494814609135).

225917067600 is an abundant number, since it is smaller than the sum of its proper divisors (763712150670).

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

225917067600 is a wasteful number, since it uses less digits than its factorization.

225917067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 225917067600 in words is "two hundred twenty-five billion, nine hundred seventeen million, sixty-seven thousand, six hundred".