20920199360256 has 2016 divisors, whose sum is σ = 81675543882240. Its totient is φ = 5201058594816.

The previous prime is 20920199360227. The next prime is 20920199360257. The reversal of 20920199360256 is 65206399102902.

It is a happy number.

20920199360256 is a `hidden beast` number, since 2 + 0 + 9 + 20 + 1 + 9 + 9 + 3 + 602 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920199360257) 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 223 ways as a sum of consecutive naturals, for example, 18144144576 + ... + 18144145728.

It is an arithmetic number, because the mean of its divisors is an integer number (40513662640).

Almost surely, 2^{20920199360256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20920199360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40837771941120).

20920199360256 is an abundant number, since it is smaller than the sum of its proper divisors (60755344521984).

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

20920199360256 is a wasteful number, since it uses less digits than its factorization.

20920199360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 20920199360256 in words is "twenty trillion, nine hundred twenty billion, one hundred ninety-nine million, three hundred sixty thousand, two hundred fifty-six".