27038216205 has 192 divisors, whose sum is σ = 64897597440. Its totient is φ = 10371628800.

The previous prime is 27038216189. The next prime is 27038216243. The reversal of 27038216205 is 50261283072.

27038216205 is a `hidden beast` number, since 2 + 7 + 0 + 3 + 8 + 21 + 620 + 5 = 666.

It is not a de Polignac number, because 27038216205 - 2⁴ = 27038216189 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27038216205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1749060 + ... + 1764450.

It is an arithmetic number, because the mean of its divisors is an integer number (338008320).

Almost surely, 2^27038216205 is an apocalyptic number.

It is an amenable number.

27038216205 is an abundant number, since it is smaller than the sum of its proper divisors (37859381235).

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

27038216205 is a wasteful number, since it uses less digits than its factorization.

27038216205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15449 (or 15430 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 27038216205 its reverse (50261283072), we get a palindrome (77299499277).

The spelling of 27038216205 in words is "twenty-seven billion, thirty-eight million, two hundred sixteen thousand, two hundred five".