27868271616 has 220 divisors, whose sum is σ = 83550769588. Its totient is φ = 9252569088.

The previous prime is 27868271611. The next prime is 27868271677. The reversal of 27868271616 is 61617286872.

It can be written as a sum of positive squares in 2 ways, for example, as 16204271616 + 11664000000 = 127296^2 + 108000^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27868271611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27951630 + ... + 27952626.

Almost surely, 2^27868271616 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 27868271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41775384794).

27868271616 is an abundant number, since it is smaller than the sum of its proper divisors (55682497972).

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

27868271616 is an equidigital number, since it uses as much as digits as its factorization.

27868271616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1339 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 27868271616 in words is "twenty-seven billion, eight hundred sixty-eight million, two hundred seventy-one thousand, six hundred sixteen".