27685342080 has 384 divisors, whose sum is σ = 107784583200. Its totient is φ = 6711091200.

The previous prime is 27685342049. The next prime is 27685342103. The reversal of 27685342080 is 8024358672.

27685342080 is a `hidden beast` number, since 2 + 76 + 85 + 3 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2084260 + ... + 2097500.

Almost surely, 2^27685342080 is an apocalyptic number.

27685342080 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 27685342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892291600).

27685342080 is an abundant number, since it is smaller than the sum of its proper divisors (80099241120).

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

27685342080 is a wasteful number, since it uses less digits than its factorization.

27685342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13262 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27685342080 in words is "twenty-seven billion, six hundred eighty-five million, three hundred forty-two thousand, eighty".