27066332160 has 264 divisors, whose sum is σ = 107183147136. Its totient is φ = 6186516480.

The previous prime is 27066332149. The next prime is 27066332203. The reversal of 27066332160 is 6123366072.

27066332160 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 633 + 2 + 16 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280605 + ... + 364515.

Almost surely, 2^27066332160 is an apocalyptic number.

27066332160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27066332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53591573568).

27066332160 is an abundant number, since it is smaller than the sum of its proper divisors (80116814976).

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

27066332160 is a wasteful number, since it uses less digits than its factorization.

27066332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83949 (or 83928 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 27066332160 in words is "twenty-seven billion, sixty-six million, three hundred thirty-two thousand, one hundred sixty".