27811971072 has 204 divisors, whose sum is σ = 81767856924. Its totient is φ = 9106882560.

The previous prime is 27811971043. The next prime is 27811971091. The reversal of 27811971072 is 27017911872.

It can be written as a sum of positive squares in 2 ways, for example, as 1302921216 + 26509049856 = 36096^2 + 162816^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35978878 + ... + 35979650.

Almost surely, 2^27811971072 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 27811971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40883928462).

27811971072 is an abundant number, since it is smaller than the sum of its proper divisors (53955885852).

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

27811971072 is an frugal number, since it uses more digits than its factorization.

27811971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 27811971072 in words is "twenty-seven billion, eight hundred eleven million, nine hundred seventy-one thousand, seventy-two".