27838581006672 has 30 divisors (see below), whose sum is σ = 77909362123242. Its totient is φ = 9279527002176.

The previous prime is 27838581006671. The next prime is 27838581006683. The reversal of 27838581006672 is 27660018583872.

27838581006672 is a `hidden beast` number, since 27 + 8 + 385 + 8 + 100 + 66 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22360565860416 + 5478015146256 = 4728696^2 + 2340516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27838581006671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96661739463 + ... + 96661739750.

Almost surely, 2^{27838581006672} is an apocalyptic number.

It is an amenable number.

27838581006672 is an abundant number, since it is smaller than the sum of its proper divisors (50070781116570).

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

27838581006672 is a wasteful number, since it uses less digits than its factorization.

27838581006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193323479227 (or 193323479218 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 27838581006672 in words is "twenty-seven trillion, eight hundred thirty-eight billion, five hundred eighty-one million, six thousand, six hundred seventy-two".