20422382093568 has 2304 divisors, whose sum is σ = 79790565120000. Its totient is φ = 5112769019904.

The previous prime is 20422382093513. The next prime is 20422382093573. The reversal of 20422382093568 is 86539028322402.

It is a happy number.

20422382093568 is a `hidden beast` number, since 2 + 0 + 4 + 22 + 38 + 20 + 9 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65247226980 + ... + 65247227292.

Almost surely, 2^{20422382093568} is an apocalyptic number.

20422382093568 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 20422382093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39895282560000).

20422382093568 is an abundant number, since it is smaller than the sum of its proper divisors (59368183026432).

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

20422382093568 is a wasteful number, since it uses less digits than its factorization.

20422382093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 20422382093568 in words is "twenty trillion, four hundred twenty-two billion, three hundred eighty-two million, ninety-three thousand, five hundred sixty-eight".