225027225360 has 320 divisors, whose sum is σ = 888517416960. Its totient is φ = 51278261760.

The previous prime is 225027225347. The next prime is 225027225373. The reversal of 225027225360 is 63522720522.

225027225360 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 272 + 25 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (225027225347) and next prime (225027225373).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4982239 + ... + 5027201.

It is an arithmetic number, because the mean of its divisors is an integer number (2776616928).

Almost surely, 2^225027225360 is an apocalyptic number.

225027225360 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 225027225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444258708480).

225027225360 is an abundant number, since it is smaller than the sum of its proper divisors (663490191600).

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

225027225360 is a wasteful number, since it uses less digits than its factorization.

225027225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45323 (or 45311 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 225027225360 its reverse (63522720522), we get a palindrome (288549945882).

The spelling of 225027225360 in words is "two hundred twenty-five billion, twenty-seven million, two hundred twenty-five thousand, three hundred sixty".