225265536545760 has 144 divisors (see below), whose sum is σ = 789494823202176. Its totient is φ = 58447274333184.

The previous prime is 225265536545747. The next prime is 225265536545761. The reversal of 225265536545760 is 67545635562522.

It is a happy number.

225265536545760 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 6 + 5 + 5 + 3 + 6 + 54 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×225265536545760³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225265536545761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2113925104 + ... + 2114031663.

It is an arithmetic number, because the mean of its divisors is an integer number (5482602938904).

Almost surely, 2^{225265536545760} is an apocalyptic number.

225265536545760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225265536545760 is an abundant number, since it is smaller than the sum of its proper divisors (564229286656416).

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

225265536545760 is a wasteful number, since it uses less digits than its factorization.

225265536545760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227956825 (or 4227956814 counting only the distinct ones).

The product of its (nonzero) digits is 453600000, while the sum is 63.

The spelling of 225265536545760 in words is "two hundred twenty-five trillion, two hundred sixty-five billion, five hundred thirty-six million, five hundred forty-five thousand, seven hundred sixty".