20117343882240 has 1056 divisors, whose sum is σ = 78466769971200. Its totient is φ = 4723847331840.

The previous prime is 20117343882227. The next prime is 20117343882247. The reversal of 20117343882240 is 4228834371102.

20117343882240 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 343 + 88 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20117343882247) 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 95 ways as a sum of consecutive naturals, for example, 2122301821 + ... + 2122311299.

Almost surely, 2^{20117343882240} is an apocalyptic number.

20117343882240 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 20117343882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39233384985600).

20117343882240 is an abundant number, since it is smaller than the sum of its proper divisors (58349426088960).

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

20117343882240 is a wasteful number, since it uses less digits than its factorization.

20117343882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20117343882240 in words is "twenty trillion, one hundred seventeen billion, three hundred forty-three million, eight hundred eighty-two thousand, two hundred forty".