20563788000 has 768 divisors, whose sum is σ = 81517363200. Its totient is φ = 4432896000.

The previous prime is 20563787987. The next prime is 20563788001. The reversal of 20563788000 is 88736502.

It is a self number, because there is not a number n which added to its sum of digits gives 20563788000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20563788001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138011926 + ... + 138012074.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 2^20563788000 is an apocalyptic number.

20563788000 is a gapful number since it is divisible by the number (20) 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 20563788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40758681600).

20563788000 is an abundant number, since it is smaller than the sum of its proper divisors (60953575200).

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

20563788000 is a wasteful number, since it uses less digits than its factorization.

20563788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 20563788000 in words is "twenty billion, five hundred sixty-three million, seven hundred eighty-eight thousand".