27043275081312 has 1152 divisors, whose sum is σ = 97494388992000. Its totient is φ = 7079218642944.

The previous prime is 27043275081293. The next prime is 27043275081313. The reversal of 27043275081312 is 21318057234072.

27043275081312 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 3 + 2 + 7 + 508 + 131 + 2 = 666.

It is a super-3 number, since 3×27043275081312³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27043275081313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35166807264 + ... + 35166808032.

It is an arithmetic number, because the mean of its divisors is an integer number (84630546000).

Almost surely, 2^{27043275081312} 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 27043275081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48747194496000).

27043275081312 is an abundant number, since it is smaller than the sum of its proper divisors (70451113910688).

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

27043275081312 is a wasteful number, since it uses less digits than its factorization.

27043275081312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27043275081312 in words is "twenty-seven trillion, forty-three billion, two hundred seventy-five million, eighty-one thousand, three hundred twelve".