20159580340224 has 1056 divisors, whose sum is σ = 69252304605120. Its totient is φ = 5805453606912.

The previous prime is 20159580340213. The next prime is 20159580340247. The reversal of 20159580340224 is 42204308595102.

20159580340224 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 9 + 5 + 80 + 340 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20159580340224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112623353767 + ... + 112623353945.

Almost surely, 2^{20159580340224} is an apocalyptic number.

20159580340224 is a gapful number since it is divisible by the number (24) 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 20159580340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34626152302560).

20159580340224 is an abundant number, since it is smaller than the sum of its proper divisors (49092724264896).

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

20159580340224 is an frugal number, since it uses more digits than its factorization.

20159580340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20159580340224 in words is "twenty trillion, one hundred fifty-nine billion, five hundred eighty million, three hundred forty thousand, two hundred twenty-four".