27112685568 has 240 divisors, whose sum is σ = 78137498880. Its totient is φ = 8336441344.

The previous prime is 27112685563. The next prime is 27112685599. The reversal of 27112685568 is 86558621172.

It is a self number, because there is not a number n which added to its sum of digits gives 27112685568.

It is not an unprimeable number, because it can be changed into a prime (27112685563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32783971 + ... + 32784797.

It is an arithmetic number, because the mean of its divisors is an integer number (325572912).

Almost surely, 2^27112685568 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 27112685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39068749440).

27112685568 is an abundant number, since it is smaller than the sum of its proper divisors (51024813312).

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

27112685568 is an equidigital number, since it uses as much as digits as its factorization.

27112685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 884 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 27112685568 in words is "twenty-seven billion, one hundred twelve million, six hundred eighty-five thousand, five hundred sixty-eight".