27127205136 has 30 divisors (see below), whose sum is σ = 75918498110. Its totient is φ = 9042401664.

The previous prime is 27127205093. The next prime is 27127205297. The reversal of 27127205136 is 63150272172.

27127205136 is a `hidden beast` number, since 2 + 71 + 2 + 72 + 0 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27126090000 + 1115136 = 164700^2 + 1056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27127205136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94191541 + ... + 94191828.

Almost surely, 2^27127205136 is an apocalyptic number.

It is an amenable number.

27127205136 is an abundant number, since it is smaller than the sum of its proper divisors (48791292974).

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

27127205136 is a wasteful number, since it uses less digits than its factorization.

27127205136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188383383 (or 188383374 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27127205136 in words is "twenty-seven billion, one hundred twenty-seven million, two hundred five thousand, one hundred thirty-six".