20022298564320 has 288 divisors, whose sum is σ = 73592148363552. Its totient is φ = 4927882530816.

The previous prime is 20022298564207. The next prime is 20022298564321. The reversal of 20022298564320 is 2346589222002.

20022298564320 is a `hidden beast` number, since 20 + 0 + 2 + 229 + 85 + 6 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022298564321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142257822 + ... + 142398498.

It is an arithmetic number, because the mean of its divisors is an integer number (255528292929).

Almost surely, 2^{20022298564320} is an apocalyptic number.

20022298564320 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 20022298564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796074181776).

20022298564320 is an abundant number, since it is smaller than the sum of its proper divisors (53569849799232).

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

20022298564320 is a wasteful number, since it uses less digits than its factorization.

20022298564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148314 (or 148303 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20022298564320 in words is "twenty trillion, twenty-two billion, two hundred ninety-eight million, five hundred sixty-four thousand, three hundred twenty".