27811930068 has 96 divisors (see below), whose sum is σ = 77738774400. Its totient is φ = 8547904512.

The previous prime is 27811930063. The next prime is 27811930087. The reversal of 27811930068 is 86003911872.

27811930068 is a `hidden beast` number, since 278 + 1 + 19 + 300 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27811930063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293655 + ... + 1314977.

It is an arithmetic number, because the mean of its divisors is an integer number (809778900).

Almost surely, 2^27811930068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27811930068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38869387200).

27811930068 is an abundant number, since it is smaller than the sum of its proper divisors (49926844332).

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

27811930068 is a wasteful number, since it uses less digits than its factorization.

27811930068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22278 (or 22270 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 27811930068 in words is "twenty-seven billion, eight hundred eleven million, nine hundred thirty thousand, sixty-eight".