225263498880 has 512 divisors, whose sum is σ = 867799941120. Its totient is φ = 48608870400.

The previous prime is 225263498843. The next prime is 225263498923. The reversal of 225263498880 is 88894362522.

It is a super-2 number, since 2×225263498880² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225263498880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17075647 + ... + 17088833.

It is an arithmetic number, because the mean of its divisors is an integer number (1694921760).

Almost surely, 2^225263498880 is an apocalyptic number.

225263498880 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 225263498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433899970560).

225263498880 is an abundant number, since it is smaller than the sum of its proper divisors (642536442240).

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

225263498880 is a wasteful number, since it uses less digits than its factorization.

225263498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 225263498880 in words is "two hundred twenty-five billion, two hundred sixty-three million, four hundred ninety-eight thousand, eight hundred eighty".