27966230712 has 96 divisors (see below), whose sum is σ = 86640977280. Its totient is φ = 7983074880.

The previous prime is 27966230693. The next prime is 27966230717. The reversal of 27966230712 is 21703266972.

27966230712 is a `hidden beast` number, since 2 + 7 + 9 + 6 + 623 + 0 + 7 + 12 = 666.

It is a super-2 number, since 2×27966230712² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966230717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541287 + ... + 590697.

It is an arithmetic number, because the mean of its divisors is an integer number (902510180).

Almost surely, 2^27966230712 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 27966230712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320488640).

27966230712 is an abundant number, since it is smaller than the sum of its proper divisors (58674746568).

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

27966230712 is a wasteful number, since it uses less digits than its factorization.

27966230712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50553 (or 50546 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27966230712 in words is "twenty-seven billion, nine hundred sixty-six million, two hundred thirty thousand, seven hundred twelve".