27029703168 has 360 divisors, whose sum is σ = 86007558780. Its totient is φ = 8166113280.

The previous prime is 27029703161. The next prime is 27029703187. The reversal of 27029703168 is 86130792072.

27029703168 is a `hidden beast` number, since 270 + 297 + 0 + 31 + 68 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 222845184 + 26806857984 = 14928^2 + 163728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27029703161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47503588 + ... + 47504156.

Almost surely, 2^27029703168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27029703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003779390).

27029703168 is an abundant number, since it is smaller than the sum of its proper divisors (58977855612).

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

27029703168 is a wasteful number, since it uses less digits than its factorization.

27029703168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27029703168 in words is "twenty-seven billion, twenty-nine million, seven hundred three thousand, one hundred sixty-eight".