27999654912 has 440 divisors, whose sum is σ = 89365469600. Its totient is φ = 8707129344.

The previous prime is 27999654911. The next prime is 27999654913. The reversal of 27999654912 is 21945699972.

27999654912 is a `hidden beast` number, since 2 + 79 + 9 + 9 + 6 + 549 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (27999654911) and next prime (27999654913).

It is a self number, because there is not a number n which added to its sum of digits gives 27999654912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27999654911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171776943 + ... + 171777105.

It is an arithmetic number, because the mean of its divisors is an integer number (203103340).

Almost surely, 2^27999654912 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 27999654912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44682734800).

27999654912 is an abundant number, since it is smaller than the sum of its proper divisors (61365814688).

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

27999654912 is a wasteful number, since it uses less digits than its factorization.

27999654912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 27999654912 in words is "twenty-seven billion, nine hundred ninety-nine million, six hundred fifty-four thousand, nine hundred twelve".