225727745811680 has 48 divisors (see below), whose sum is σ = 609464913694560. Its totient is φ = 77392369992192.

The previous prime is 225727745811661. The next prime is 225727745811749. The reversal of 225727745811680 is 86118547727522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100771313975 + ... + 100771316214.

It is an arithmetic number, because the mean of its divisors is an integer number (12697185701970).

Almost surely, 2^{225727745811680} is an apocalyptic number.

225727745811680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225727745811680 is an abundant number, since it is smaller than the sum of its proper divisors (383737167882880).

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

225727745811680 is a wasteful number, since it uses less digits than its factorization.

225727745811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201542630211 (or 201542630203 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 65.

The spelling of 225727745811680 in words is "two hundred twenty-five trillion, seven hundred twenty-seven billion, seven hundred forty-five million, eight hundred eleven thousand, six hundred eighty".