27771581322 has 128 divisors (see below), whose sum is σ = 65529354240. Its totient is φ = 8703936000.

The previous prime is 27771581269. The next prime is 27771581381. The reversal of 27771581322 is 22318517772.

27771581322 is a `hidden beast` number, since 277 + 7 + 1 + 58 + 1 + 322 = 666.

27771581322 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20109072 + ... + 20110452.

It is an arithmetic number, because the mean of its divisors is an integer number (511948080).

Almost surely, 2^27771581322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27771581322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32764677120).

27771581322 is an abundant number, since it is smaller than the sum of its proper divisors (37757772918).

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

27771581322 is a wasteful number, since it uses less digits than its factorization.

27771581322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The spelling of 27771581322 in words is "twenty-seven billion, seven hundred seventy-one million, five hundred eighty-one thousand, three hundred twenty-two".