10563835968000 has 1920 divisors, whose sum is σ = 47066867527680. Its totient is φ = 2309061427200.

The previous prime is 10563835967981. The next prime is 10563835968011. The reversal of 10563835968000 is 86953836501.

10563835968000 is a `hidden beast` number, since 10 + 5 + 6 + 38 + 3 + 596 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×10563835968000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 2503869891 + ... + 2503874109.

It is an arithmetic number, because the mean of its divisors is an integer number (24513993504).

Almost surely, 2^{10563835968000} is an apocalyptic number.

10563835968000 is a gapful number since it is divisible by the number (10) 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 10563835968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533433763840).

10563835968000 is an abundant number, since it is smaller than the sum of its proper divisors (36503031559680).

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

10563835968000 is an frugal number, since it uses more digits than its factorization.

10563835968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 10563835968000 in words is "ten trillion, five hundred sixty-three billion, eight hundred thirty-five million, nine hundred sixty-eight thousand".