27109166304 has 192 divisors, whose sum is σ = 79765475328. Its totient is φ = 7990617600.

The previous prime is 27109166291. The next prime is 27109166309. The reversal of 27109166304 is 40366190172.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27109166309) 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 31 ways as a sum of consecutive naturals, for example, 12304467 + ... + 12306669.

It is an arithmetic number, because the mean of its divisors is an integer number (415445184).

Almost surely, 2^27109166304 is an apocalyptic number.

27109166304 is a gapful number since it is divisible by the number (24) 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 27109166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39882737664).

27109166304 is an abundant number, since it is smaller than the sum of its proper divisors (52656309024).

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

27109166304 is a wasteful number, since it uses less digits than its factorization.

27109166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 27109166304 in words is "twenty-seven billion, one hundred nine million, one hundred sixty-six thousand, three hundred four".