27945423168 has 112 divisors (see below), whose sum is σ = 80717843136. Its totient is φ = 8480747520.

The previous prime is 27945423067. The next prime is 27945423169. The reversal of 27945423168 is 86132454972.

It is a self number, because there is not a number n which added to its sum of digits gives 27945423168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27945423169) 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 15 ways as a sum of consecutive naturals, for example, 105523 + ... + 258893.

It is an arithmetic number, because the mean of its divisors is an integer number (720695028).

Almost surely, 2^27945423168 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 27945423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40358921568).

27945423168 is an abundant number, since it is smaller than the sum of its proper divisors (52772419968).

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

27945423168 is a wasteful number, since it uses less digits than its factorization.

27945423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153472 (or 153462 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 27945423168 in words is "twenty-seven billion, nine hundred forty-five million, four hundred twenty-three thousand, one hundred sixty-eight".