27116788608 has 640 divisors, whose sum is σ = 101889627840. Its totient is φ = 6967296000.

The previous prime is 27116788579. The next prime is 27116788609. The reversal of 27116788608 is 80688761172.

It is a happy number.

27116788608 is a `hidden beast` number, since 27 + 1 + 1 + 6 + 7 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27116788609) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 38682658 + ... + 38683358.

Almost surely, 2^27116788608 is an apocalyptic number.

27116788608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27116788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50944813920).

27116788608 is an abundant number, since it is smaller than the sum of its proper divisors (74772839232).

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

27116788608 is a wasteful number, since it uses less digits than its factorization.

27116788608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 27116788608 in words is "twenty-seven billion, one hundred sixteen million, seven hundred eighty-eight thousand, six hundred eight".