20201332320 has 288 divisors, whose sum is σ = 74967826752. Its totient is φ = 4923887616.

The previous prime is 20201332303. The next prime is 20201332381. The reversal of 20201332320 is 2323310202.

It is a happy number.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 20201332293 and 20201332302.

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 47 ways as a sum of consecutive naturals, for example, 1922922 + ... + 1933398.

It is an arithmetic number, because the mean of its divisors is an integer number (260304954).

Almost surely, 2^20201332320 is an apocalyptic number.

20201332320 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 20201332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37483913376).

20201332320 is an abundant number, since it is smaller than the sum of its proper divisors (54766494432).

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

20201332320 is a wasteful number, since it uses less digits than its factorization.

20201332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10603 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20201332320 its reverse (2323310202), we get a palindrome (22524642522).

The spelling of 20201332320 in words is "twenty billion, two hundred one million, three hundred thirty-two thousand, three hundred twenty".