225762785280 has 768 divisors, whose sum is σ = 861664003200. Its totient is φ = 56566480896.

The previous prime is 225762785267. The next prime is 225762785291. The reversal of 225762785280 is 82587267522.

225762785280 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 627 + 8 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380712664 + ... + 380713256.

Almost surely, 2^225762785280 is an apocalyptic number.

225762785280 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 225762785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430832001600).

225762785280 is an abundant number, since it is smaller than the sum of its proper divisors (635901217920).

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

225762785280 is an frugal number, since it uses more digits than its factorization.

225762785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 225762785280 in words is "two hundred twenty-five billion, seven hundred sixty-two million, seven hundred eighty-five thousand, two hundred eighty".