27933764166 has 384 divisors, whose sum is σ = 87253770240. Its totient is φ = 6466521600.

The previous prime is 27933764137. The next prime is 27933764207. The reversal of 27933764166 is 66146733972.

It is a happy number.

27933764166 is a `hidden beast` number, since 27 + 93 + 376 + 4 + 166 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12086151 + ... + 12088461.

It is an arithmetic number, because the mean of its divisors is an integer number (227223360).

Almost surely, 2^27933764166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27933764166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43626885120).

27933764166 is an abundant number, since it is smaller than the sum of its proper divisors (59320006074).

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

27933764166 is a wasteful number, since it uses less digits than its factorization.

27933764166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2370 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 27933764166 in words is "twenty-seven billion, nine hundred thirty-three million, seven hundred sixty-four thousand, one hundred sixty-six".