20117556164736 has 256 divisors, whose sum is σ = 60863576256000. Its totient is φ = 6538761732096.

The previous prime is 20117556164659. The next prime is 20117556164773. The reversal of 20117556164736 is 63746165571102.

20117556164736 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 5 + 561 + 6 + 4 + 73 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43464000 + ... + 43924416.

It is an arithmetic number, because the mean of its divisors is an integer number (237748344750).

Almost surely, 2^{20117556164736} 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 20117556164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431788128000).

20117556164736 is an abundant number, since it is smaller than the sum of its proper divisors (40746020091264).

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

20117556164736 is a wasteful number, since it uses less digits than its factorization.

20117556164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460756 (or 460738 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 20117556164736 in words is "twenty trillion, one hundred seventeen billion, five hundred fifty-six million, one hundred sixty-four thousand, seven hundred thirty-six".