20568238848000 has 768 divisors, whose sum is σ = 77807662732800. Its totient is φ = 5357231308800.

The previous prime is 20568238847999. The next prime is 20568238848011. The reversal of 20568238848000 is 84883286502.

20568238848000 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 82 + 3 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 297181399 + ... + 297250601.

It is an arithmetic number, because the mean of its divisors is an integer number (101312060850).

Almost surely, 2^{20568238848000} is an apocalyptic number.

20568238848000 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 20568238848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38903831366400).

20568238848000 is an abundant number, since it is smaller than the sum of its proper divisors (57239423884800).

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

20568238848000 is an equidigital number, since it uses as much as digits as its factorization.

20568238848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69292 (or 69256 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 20568238848000 in words is "twenty trillion, five hundred sixty-eight billion, two hundred thirty-eight million, eight hundred forty-eight thousand".