20289904320 has 448 divisors, whose sum is σ = 76926643200. Its totient is φ = 4526678016.

The previous prime is 20289904307. The next prime is 20289904321. The reversal of 20289904320 is 2340998202.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20289904321) 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 63 ways as a sum of consecutive naturals, for example, 14158324 + ... + 14159756.

Almost surely, 2^20289904320 is an apocalyptic number.

20289904320 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 20289904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38463321600).

20289904320 is an abundant number, since it is smaller than the sum of its proper divisors (56636738880).

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

20289904320 is a wasteful number, since it uses less digits than its factorization.

20289904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 20289904320 in words is "twenty billion, two hundred eighty-nine million, nine hundred four thousand, three hundred twenty".