27726060042 has 96 divisors (see below), whose sum is σ = 64995902400. Its totient is φ = 8513600256.

The previous prime is 27726060031. The next prime is 27726060097. The reversal of 27726060042 is 24006062772.

27726060042 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 6 + 0 + 600 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27726059979 and 27726060006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3363558 + ... + 3371790.

It is an arithmetic number, because the mean of its divisors is an integer number (677040650).

Almost surely, 2^27726060042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27726060042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497951200).

27726060042 is an abundant number, since it is smaller than the sum of its proper divisors (37269842358).

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

27726060042 is a wasteful number, since it uses less digits than its factorization.

27726060042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27726060042 in words is "twenty-seven billion, seven hundred twenty-six million, sixty thousand, forty-two".