27691034112 has 320 divisors, whose sum is σ = 98613926400. Its totient is φ = 7494819840.

The previous prime is 27691034083. The next prime is 27691034117. The reversal of 27691034112 is 21143019672.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27691034117) 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 31 ways as a sum of consecutive naturals, for example, 1831062 + ... + 1846122.

It is an arithmetic number, because the mean of its divisors is an integer number (308168520).

Almost surely, 2^27691034112 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 27691034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49306963200).

27691034112 is an abundant number, since it is smaller than the sum of its proper divisors (70922892288).

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

27691034112 is a wasteful number, since it uses less digits than its factorization.

27691034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15092 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 27691034112 in words is "twenty-seven billion, six hundred ninety-one million, thirty-four thousand, one hundred twelve".