27971186112 has 112 divisors (see below), whose sum is σ = 82427572000. Its totient is φ = 9301340160.

The previous prime is 27971186099. The next prime is 27971186119. The reversal of 27971186112 is 21168117972.

It is a happy number.

27971186112 is a `hidden beast` number, since 27 + 9 + 7 + 1 + 1 + 8 + 611 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27971186119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708264 + ... + 746712.

Almost surely, 2^27971186112 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 27971186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41213786000).

27971186112 is an abundant number, since it is smaller than the sum of its proper divisors (54456385888).

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

27971186112 is a wasteful number, since it uses less digits than its factorization.

27971186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38891 (or 38875 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The spelling of 27971186112 in words is "twenty-seven billion, nine hundred seventy-one million, one hundred eighty-six thousand, one hundred twelve".