27686396160 has 180 divisors, whose sum is σ = 99067359468. Its totient is φ = 7383011328.

The previous prime is 27686396159. The next prime is 27686396183. The reversal of 27686396160 is 6169368672.

It can be written as a sum of positive squares in 2 ways, for example, as 8256266496 + 19430129664 = 90864^2 + 139392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 27686396097 and 27686396106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29839 + ... + 237198.

Almost surely, 2^27686396160 is an apocalyptic number.

27686396160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27686396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533679734).

27686396160 is an abundant number, since it is smaller than the sum of its proper divisors (71380963308).

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

27686396160 is an equidigital number, since it uses as much as digits as its factorization.

27686396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267070 (or 267047 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27686396160 in words is "twenty-seven billion, six hundred eighty-six million, three hundred ninety-six thousand, one hundred sixty".