27102266320 has 80 divisors (see below), whose sum is σ = 66750669648. Its totient is φ = 10198425600.

The previous prime is 27102266281. The next prime is 27102266329. The reversal of 27102266320 is 2366220172.

It can be written as a sum of positive squares in 8 ways, for example, as 1570061376 + 25532204944 = 39624^2 + 159788^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27102266329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4486342 + ... + 4492378.

Almost surely, 2^27102266320 is an apocalyptic number.

27102266320 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 27102266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33375334824).

27102266320 is an abundant number, since it is smaller than the sum of its proper divisors (39648403328).

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

27102266320 is a wasteful number, since it uses less digits than its factorization.

27102266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 27102266320 its reverse (2366220172), we get a palindrome (29468486492).

The spelling of 27102266320 in words is "twenty-seven billion, one hundred two million, two hundred sixty-six thousand, three hundred twenty".