225260505792 has 224 divisors, whose sum is σ = 782926348800. Its totient is φ = 62140732416.

The previous prime is 225260505787. The next prime is 225260505863. The reversal of 225260505792 is 297505062522.

225260505792 is a `hidden beast` number, since 2 + 2 + 5 + 26 + 0 + 50 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×225260505792³ (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29703 + ... + 671865.

Almost surely, 2^225260505792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225260505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391463174400).

225260505792 is an abundant number, since it is smaller than the sum of its proper divisors (557665843008).

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

225260505792 is a wasteful number, since it uses less digits than its factorization.

225260505792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642220 (or 642204 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 225260505792 in words is "two hundred twenty-five billion, two hundred sixty million, five hundred five thousand, seven hundred ninety-two".