27133133594112 has 2880 divisors, whose sum is σ = 110208051233280. Its totient is φ = 6582589784064.

The previous prime is 27133133594107. The next prime is 27133133594113. The reversal of 27133133594112 is 21149533133172.

It is a happy number.

27133133594112 is a `hidden beast` number, since 2 + 7 + 1 + 33 + 13 + 3 + 594 + 1 + 12 = 666.

It is a super-2 number, since 2×27133133594112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27133133594113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55714853133 + ... + 55714853619.

It is an arithmetic number, because the mean of its divisors is an integer number (38266684456).

Almost surely, 2^{27133133594112} 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 27133133594112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55104025616640).

27133133594112 is an abundant number, since it is smaller than the sum of its proper divisors (83074917639168).

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

27133133594112 is a wasteful number, since it uses less digits than its factorization.

27133133594112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 568 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 27133133594112 in words is "twenty-seven trillion, one hundred thirty-three billion, one hundred thirty-three million, five hundred ninety-four thousand, one hundred twelve".