27751216518 has 64 divisors (see below), whose sum is σ = 62785497600. Its totient is φ = 9083342880.

The previous prime is 27751216501. The next prime is 27751216543. The reversal of 27751216518 is 81561215772.

27751216518 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 121 + 6 + 518 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3127408 + ... + 3136268.

It is an arithmetic number, because the mean of its divisors is an integer number (981023400).

Almost surely, 2^27751216518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27751216518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31392748800).

27751216518 is an abundant number, since it is smaller than the sum of its proper divisors (35034281082).

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

27751216518 is a wasteful number, since it uses less digits than its factorization.

27751216518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914 (or 9908 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The spelling of 27751216518 in words is "twenty-seven billion, seven hundred fifty-one million, two hundred sixteen thousand, five hundred eighteen".