27771266056212 has 288 divisors, whose sum is σ = 85737343491072. Its totient is φ = 7413366924288.

The previous prime is 27771266056139. The next prime is 27771266056217. The reversal of 27771266056212 is 21265066217772.

27771266056212 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 1 + 2 + 6 + 6 + 0 + 5 + 621 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27771266056217) 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 95 ways as a sum of consecutive naturals, for example, 22628238 + ... + 23823930.

It is an arithmetic number, because the mean of its divisors is an integer number (297699109344).

Almost surely, 2^{27771266056212} 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 27771266056212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42868671745536).

27771266056212 is an abundant number, since it is smaller than the sum of its proper divisors (57966077434860).

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

27771266056212 is a wasteful number, since it uses less digits than its factorization.

27771266056212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195847 (or 1195842 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 27771266056212 in words is "twenty-seven trillion, seven hundred seventy-one billion, two hundred sixty-six million, fifty-six thousand, two hundred twelve".