225229260960 has 960 divisors, whose sum is σ = 905348949120. Its totient is φ = 52231495680.

The previous prime is 225229260947. The next prime is 225229260967. The reversal of 225229260960 is 69062922522.

225229260960 is a `hidden beast` number, since 2 + 2 + 522 + 9 + 2 + 60 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225229260967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 649075507 + ... + 649075853.

It is an arithmetic number, because the mean of its divisors is an integer number (943071822).

Almost surely, 2^225229260960 is an apocalyptic number.

225229260960 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 225229260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452674474560).

225229260960 is an abundant number, since it is smaller than the sum of its proper divisors (680119688160).

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

225229260960 is a wasteful number, since it uses less digits than its factorization.

225229260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 225229260960 in words is "two hundred twenty-five billion, two hundred twenty-nine million, two hundred sixty thousand, nine hundred sixty".