27329136912 has 800 divisors, whose sum is σ = 105436108800. Its totient is φ = 6789847680.

The previous prime is 27329136911. The next prime is 27329136931. The reversal of 27329136912 is 21963192372.

27329136912 is a `hidden beast` number, since 273 + 2 + 9 + 1 + 369 + 12 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (27329136911) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1188223333 + ... + 1188223355.

It is an arithmetic number, because the mean of its divisors is an integer number (131795136).

Almost surely, 2^27329136912 is an apocalyptic number.

27329136912 is a gapful number since it is divisible by the number (22) 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 27329136912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52718054400).

27329136912 is an abundant number, since it is smaller than the sum of its proper divisors (78106971888).

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

27329136912 is an frugal number, since it uses more digits than its factorization.

27329136912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 27329136912 in words is "twenty-seven billion, three hundred twenty-nine million, one hundred thirty-six thousand, nine hundred twelve".