20445010304320 has 448 divisors, whose sum is σ = 59262600499200. Its totient is φ = 6558289920000.

The previous prime is 20445010304317. The next prime is 20445010304357. The reversal of 20445010304320 is 2340301054402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5725288135 + ... + 5725291705.

It is an arithmetic number, because the mean of its divisors is an integer number (132282590400).

Almost surely, 2^{20445010304320} is an apocalyptic number.

20445010304320 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 20445010304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631300249600).

20445010304320 is an abundant number, since it is smaller than the sum of its proper divisors (38817590194880).

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

20445010304320 is a wasteful number, since it uses less digits than its factorization.

20445010304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 20445010304320 its reverse (2340301054402), we get a palindrome (22785311358722).

The spelling of 20445010304320 in words is "twenty trillion, four hundred forty-five billion, ten million, three hundred four thousand, three hundred twenty".