27689826816 has 120 divisors (see below), whose sum is σ = 79984388484. Its totient is φ = 9221898240.

The previous prime is 27689826781. The next prime is 27689826817. The reversal of 27689826816 is 61862898672.

27689826816 is a `hidden beast` number, since 276 + 8 + 98 + 268 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25933881600 + 1755945216 = 161040^2 + 41904^2 .

It is not an unprimeable number, because it can be changed into a prime (27689826817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7818006 + ... + 7821546.

Almost surely, 2^27689826816 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 27689826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39992194242).

27689826816 is an abundant number, since it is smaller than the sum of its proper divisors (52294561668).

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

27689826816 is a wasteful number, since it uses less digits than its factorization.

27689826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5243 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 27689826816 in words is "twenty-seven billion, six hundred eighty-nine million, eight hundred twenty-six thousand, eight hundred sixteen".