27082680711138 has 96 divisors (see below), whose sum is σ = 65993250960000. Its totient is φ = 7964438676480.

The previous prime is 27082680711133. The next prime is 27082680711167. The reversal of 27082680711138 is 83111708628072.

27082680711138 is a `hidden beast` number, since 270 + 8 + 268 + 0 + 71 + 11 + 38 = 666.

It is not an unprimeable number, because it can be changed into a prime (27082680711133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4707673 + ... + 8736563.

It is an arithmetic number, because the mean of its divisors is an integer number (687429697500).

Almost surely, 2^{27082680711138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27082680711138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32996625480000).

27082680711138 is an abundant number, since it is smaller than the sum of its proper divisors (38910570248862).

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

27082680711138 is a wasteful number, since it uses less digits than its factorization.

27082680711138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030184 (or 4030181 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 27082680711138 in words is "twenty-seven trillion, eighty-two billion, six hundred eighty million, seven hundred eleven thousand, one hundred thirty-eight".