5608968440800 has 72 divisors (see below), whose sum is σ = 13750187119200. Its totient is φ = 2234199905280.

The previous prime is 5608968440711. The next prime is 5608968440839. The reversal of 5608968440800 is 80448698065.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14476605 + ... + 14859004.

It is an arithmetic number, because the mean of its divisors is an integer number (190974821100).

Almost surely, 2^{5608968440800} is an apocalyptic number.

5608968440800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5608968440800 is an abundant number, since it is smaller than the sum of its proper divisors (8141218678400).

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

5608968440800 is a wasteful number, since it uses less digits than its factorization.

5608968440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29335868 (or 29335855 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 5608968440800 in words is "five trillion, six hundred eight billion, nine hundred sixty-eight million, four hundred forty thousand, eight hundred".