27939059647488 has 704 divisors, whose sum is σ = 95118882432000. Its totient is φ = 8011992268800.

The previous prime is 27939059647417. The next prime is 27939059647519. The reversal of 27939059647488 is 88474695093972.

27939059647488 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 9 + 0 + 5 + 96 + 47 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6766541808 + ... + 6766545936.

Almost surely, 2^{27939059647488} 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 27939059647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47559441216000).

27939059647488 is an abundant number, since it is smaller than the sum of its proper divisors (67179822784512).

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

27939059647488 is a wasteful number, since it uses less digits than its factorization.

27939059647488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 27939059647488 in words is "twenty-seven trillion, nine hundred thirty-nine billion, fifty-nine million, six hundred forty-seven thousand, four hundred eighty-eight".