27234641310912 has 672 divisors, whose sum is σ = 90689217615360. Its totient is φ = 7654211665920.

The previous prime is 27234641310901. The next prime is 27234641310923. The reversal of 27234641310912 is 21901314643272.

27234641310912 is a `hidden beast` number, since 2 + 72 + 3 + 464 + 1 + 3 + 109 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (27234641310901) and next prime (27234641310923).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33664574764 + ... + 33664575572.

It is an arithmetic number, because the mean of its divisors is an integer number (134954192880).

Almost surely, 2^{27234641310912} 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 27234641310912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45344608807680).

27234641310912 is an abundant number, since it is smaller than the sum of its proper divisors (63454576304448).

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

27234641310912 is a wasteful number, since it uses less digits than its factorization.

27234641310912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27234641310912 in words is "twenty-seven trillion, two hundred thirty-four billion, six hundred forty-one million, three hundred ten thousand, nine hundred twelve".