27968423239680 has 3584 divisors, whose sum is σ = 125233602232320. Its totient is φ = 5152702464000.

The previous prime is 27968423239639. The next prime is 27968423239693. The reversal of 27968423239680 is 8693232486972.

It is a tau number, because it is divible by the number of its divisors (3584).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 354030673881 + ... + 354030673959.

Almost surely, 2^{27968423239680} is an apocalyptic number.

27968423239680 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 27968423239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62616801116160).

27968423239680 is an abundant number, since it is smaller than the sum of its proper divisors (97265178992640).

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

27968423239680 is a wasteful number, since it uses less digits than its factorization.

27968423239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 27968423239680 in words is "twenty-seven trillion, nine hundred sixty-eight billion, four hundred twenty-three million, two hundred thirty-nine thousand, six hundred eighty".