27133414272 has 192 divisors, whose sum is σ = 83464486560. Its totient is φ = 8439889920.

The previous prime is 27133414267. The next prime is 27133414279. The reversal of 27133414272 is 27241433172.

27133414272 is a `hidden beast` number, since 271 + 3 + 341 + 42 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27133414279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073848 + ... + 1098824.

Almost surely, 2^27133414272 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 27133414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41732243280).

27133414272 is an abundant number, since it is smaller than the sum of its proper divisors (56331072288).

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

27133414272 is a wasteful number, since it uses less digits than its factorization.

27133414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25061 (or 25046 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 27133414272 in words is "twenty-seven billion, one hundred thirty-three million, four hundred fourteen thousand, two hundred seventy-two".