27347265456112 has 360 divisors, whose sum is σ = 67401582272640. Its totient is φ = 10682190731520.

The previous prime is 27347265456107. The next prime is 27347265456167. The reversal of 27347265456112 is 21165456274372.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2875325437 + ... + 2875334947.

It is an arithmetic number, because the mean of its divisors is an integer number (187226617424).

Almost surely, 2^{27347265456112} 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 27347265456112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33700791136320).

27347265456112 is an abundant number, since it is smaller than the sum of its proper divisors (40054316816528).

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

27347265456112 is a wasteful number, since it uses less digits than its factorization.

27347265456112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729 (or 9649 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 27347265456112 in words is "twenty-seven trillion, three hundred forty-seven billion, two hundred sixty-five million, four hundred fifty-six thousand, one hundred twelve".