225053015040 has 1056 divisors, whose sum is σ = 929026200960. Its totient is φ = 49304567808.

The previous prime is 225053015039. The next prime is 225053015053. The reversal of 225053015040 is 40510350522.

It is a happy number.

225053015040 is a `hidden beast` number, since 2 + 2 + 505 + 3 + 0 + 150 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225053014995 and 225053015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1300884394 + ... + 1300884566.

It is an arithmetic number, because the mean of its divisors is an integer number (879759660).

Almost surely, 2^225053015040 is an apocalyptic number.

225053015040 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 225053015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464513100480).

225053015040 is an abundant number, since it is smaller than the sum of its proper divisors (703973185920).

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

225053015040 is a wasteful number, since it uses less digits than its factorization.

225053015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 225053015040 its reverse (40510350522), we get a palindrome (265563365562).

The spelling of 225053015040 in words is "two hundred twenty-five billion, fifty-three million, fifteen thousand, forty".