5608948096800 has 720 divisors, whose sum is σ = 20826563389632. Its totient is φ = 1468618905600.

The previous prime is 5608948096793. The next prime is 5608948096819. The reversal of 5608948096800 is 86908498065.

5608948096800 is a `hidden beast` number, since 5 + 60 + 8 + 9 + 480 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3490321597 + ... + 3490323203.

Almost surely, 2^{5608948096800} is an apocalyptic number.

5608948096800 is a gapful number since it is divisible by the number (50) 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 5608948096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10413281694816).

5608948096800 is an abundant number, since it is smaller than the sum of its proper divisors (15217615292832).

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

5608948096800 is a wasteful number, since it uses less digits than its factorization.

5608948096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 5608948096800 in words is "five trillion, six hundred eight billion, nine hundred forty-eight million, ninety-six thousand, eight hundred".