27706827826818 has 96 divisors (see below), whose sum is σ = 69830233574400. Its totient is φ = 7775369225568.

The previous prime is 27706827826789. The next prime is 27706827826879. The reversal of 27706827826818 is 81862872860772.

27706827826818 is a `hidden beast` number, since 27 + 7 + 0 + 68 + 278 + 268 + 18 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7043403 + ... + 10248081.

It is an arithmetic number, because the mean of its divisors is an integer number (727398266400).

Almost surely, 2^{27706827826818} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27706827826818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34915116787200).

27706827826818 is an abundant number, since it is smaller than the sum of its proper divisors (42123405747582).

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

27706827826818 is a wasteful number, since it uses less digits than its factorization.

27706827826818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205916 (or 3205913 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 27706827826818 in words is "twenty-seven trillion, seven hundred six billion, eight hundred twenty-seven million, eight hundred twenty-six thousand, eight hundred eighteen".