27665232080 has 40 divisors (see below), whose sum is σ = 66539658600. Its totient is φ = 10684502528.

The previous prime is 27665232061. The next prime is 27665232157. The reversal of 27665232080 is 8023256672.

It can be written as a sum of positive squares in 4 ways, for example, as 10337195584 + 17328036496 = 101672^2 + 131636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×27665232080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5960015 + ... + 5964654.

It is an arithmetic number, because the mean of its divisors is an integer number (1663491465).

Almost surely, 2^27665232080 is an apocalyptic number.

27665232080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27665232080 is an abundant number, since it is smaller than the sum of its proper divisors (38874426520).

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

27665232080 is a wasteful number, since it uses less digits than its factorization.

27665232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11924711 (or 11924705 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 27665232080 in words is "twenty-seven billion, six hundred sixty-five million, two hundred thirty-two thousand, eighty".