5563867968000 has 1280 divisors, whose sum is σ = 21038447738880. Its totient is φ = 1467312537600.

The previous prime is 5563867967989. The next prime is 5563867968017. The reversal of 5563867968000 is 8697683655.

5563867968000 is a `hidden beast` number, since 5 + 563 + 8 + 6 + 7 + 9 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 17775935844 + ... + 17775936156.

It is an arithmetic number, because the mean of its divisors is an integer number (16436287296).

Almost surely, 2^{5563867968000} is an apocalyptic number.

5563867968000 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 5563867968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519223869440).

5563867968000 is an abundant number, since it is smaller than the sum of its proper divisors (15474579770880).

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

5563867968000 is an frugal number, since it uses more digits than its factorization.

5563867968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 5563867968000 in words is "five trillion, five hundred sixty-three billion, eight hundred sixty-seven million, nine hundred sixty-eight thousand".