27117338112 has 240 divisors, whose sum is σ = 85941968112. Its totient is φ = 8506736640.

The previous prime is 27117338107. The next prime is 27117338161. The reversal of 27117338112 is 21183371172.

It is a happy number.

27117338112 is a `hidden beast` number, since 271 + 1 + 7 + 3 + 381 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2108662 + ... + 2121482.

Almost surely, 2^27117338112 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 27117338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42970984056).

27117338112 is an abundant number, since it is smaller than the sum of its proper divisors (58824630000).

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

27117338112 is an equidigital number, since it uses as much as digits as its factorization.

27117338112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12843 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 27117338112 in words is "twenty-seven billion, one hundred seventeen million, three hundred thirty-eight thousand, one hundred twelve".