10563112800 has 432 divisors, whose sum is σ = 39252612672. Its totient is φ = 2771366400.

The previous prime is 10563112783. The next prime is 10563112817. The reversal of 10563112800 is 821136501.

10563112800 is a `hidden beast` number, since 1 + 0 + 5 + 631 + 1 + 28 + 0 + 0 = 666.

10563112800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10563112783) and next prime (10563112817).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10563112800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13024395 + ... + 13025205.

Almost surely, 2^10563112800 is an apocalyptic number.

10563112800 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 10563112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626306336).

10563112800 is an abundant number, since it is smaller than the sum of its proper divisors (28689499872).

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

10563112800 is an equidigital number, since it uses as much as digits as its factorization.

10563112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10563112800 in words is "ten billion, five hundred sixty-three million, one hundred twelve thousand, eight hundred".