227728568542320 has 480 divisors, whose sum is σ = 804778537305600. Its totient is φ = 57624831129600.

The previous prime is 227728568542273. The next prime is 227728568542361. The reversal of 227728568542320 is 23245865827722.

227728568542320 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 2 + 8 + 5 + 68 + 542 + 3 + 20 = 666.

227728568542320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5212231675 + ... + 5212275365.

It is an arithmetic number, because the mean of its divisors is an integer number (1676621952720).

Almost surely, 2^{227728568542320} is an apocalyptic number.

227728568542320 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 227728568542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402389268652800).

227728568542320 is an abundant number, since it is smaller than the sum of its proper divisors (577049968763280).

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

227728568542320 is a wasteful number, since it uses less digits than its factorization.

227728568542320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48029 (or 48020 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 227728568542320 in words is "two hundred twenty-seven trillion, seven hundred twenty-eight billion, five hundred sixty-eight million, five hundred forty-two thousand, three hundred twenty".