27516718027044 has 81 divisors (see below), whose sum is σ = 71489877759027. Its totient is φ = 8923963295808.

The previous prime is 27516718027031. The next prime is 27516718027049. The reversal of 27516718027044 is 44072081761572.

The square root of 27516718027044 is 5245638.

It is a perfect power (a square), and thus also a powerful number.

27516718027044 is a `hidden beast` number, since 2 + 7 + 516 + 7 + 1 + 80 + 2 + 7 + 0 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1202772824100 + 26313945202944 = 1096710^2 + 5129712^2 .

It is not an unprimeable number, because it can be changed into a prime (27516718027049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1164519822 + ... + 1164543450.

Almost surely, 2^{27516718027044} is an apocalyptic number.

27516718027044 is the 5245638-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27516718027044

27516718027044 is an abundant number, since it is smaller than the sum of its proper divisors (43973159731983).

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

27516718027044 is an frugal number, since it uses more digits than its factorization.

27516718027044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47342 (or 23671 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 27516718027044 in words is "twenty-seven trillion, five hundred sixteen billion, seven hundred eighteen million, twenty-seven thousand, forty-four".