20536191341568 has 2112 divisors, whose sum is σ = 77424470323200. Its totient is φ = 5108182548480.

The previous prime is 20536191341563. The next prime is 20536191341569. The reversal of 20536191341568 is 86514319163502.

20536191341568 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 61 + 9 + 13 + 4 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20536191341563) by changing a digit.

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, 125988903855 + ... + 125988904017.

It is an arithmetic number, because the mean of its divisors is an integer number (36659313600).

Almost surely, 2^{20536191341568} is an apocalyptic number.

20536191341568 is a gapful number since it is divisible by the number (28) 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 20536191341568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38712235161600).

20536191341568 is an abundant number, since it is smaller than the sum of its proper divisors (56888278981632).

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

20536191341568 is a wasteful number, since it uses less digits than its factorization.

20536191341568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

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

The spelling of 20536191341568 in words is "twenty trillion, five hundred thirty-six billion, one hundred ninety-one million, three hundred forty-one thousand, five hundred sixty-eight".