225308500560 has 640 divisors, whose sum is σ = 943214630400. Its totient is φ = 48678174720.

The previous prime is 225308500537. The next prime is 225308500577. The reversal of 225308500560 is 65005803522.

It is a happy number.

225308500560 is a `hidden beast` number, since 22 + 530 + 8 + 50 + 0 + 56 + 0 = 666.

225308500560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8944944 + ... + 8970096.

It is an arithmetic number, because the mean of its divisors is an integer number (1473772860).

Almost surely, 2^225308500560 is an apocalyptic number.

225308500560 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 225308500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471607315200).

225308500560 is an abundant number, since it is smaller than the sum of its proper divisors (717906129840).

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

225308500560 is a wasteful number, since it uses less digits than its factorization.

225308500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228 (or 25216 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 225308500560 in words is "two hundred twenty-five billion, three hundred eight million, five hundred thousand, five hundred sixty".