27680958288 has 240 divisors, whose sum is σ = 84829320576. Its totient is φ = 8391720960.

The previous prime is 27680958233. The next prime is 27680958289. The reversal of 27680958288 is 88285908672.

27680958288 is a `hidden beast` number, since 276 + 80 + 9 + 5 + 8 + 288 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680958289) 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 47 ways as a sum of consecutive naturals, for example, 10209253 + ... + 10211963.

Almost surely, 2^27680958288 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 27680958288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42414660288).

27680958288 is an abundant number, since it is smaller than the sum of its proper divisors (57148362288).

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

27680958288 is a wasteful number, since it uses less digits than its factorization.

27680958288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 27680958288 in words is "twenty-seven billion, six hundred eighty million, nine hundred fifty-eight thousand, two hundred eighty-eight".