27960311808 has 768 divisors, whose sum is σ = 103618699200. Its totient is φ = 7361003520.

The previous prime is 27960311777. The next prime is 27960311831. The reversal of 27960311808 is 80811306972.

27960311808 is a `hidden beast` number, since 27 + 9 + 603 + 1 + 18 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644724216 + ... + 1644724232.

Almost surely, 2^27960311808 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 27960311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51809349600).

27960311808 is an abundant number, since it is smaller than the sum of its proper divisors (75658387392).

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

27960311808 is a wasteful number, since it uses less digits than its factorization.

27960311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 27960311808 in words is "twenty-seven billion, nine hundred sixty million, three hundred eleven thousand, eight hundred eight".