20001032320 has 64 divisors (see below), whose sum is σ = 47993131800. Its totient is φ = 7970603008.

The previous prime is 20001032299. The next prime is 20001032329. The reversal of 20001032320 is 2323010002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8657930304 + 11343102016 = 93048^2 + 106504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20001032320.

It is not an unprimeable number, because it can be changed into a prime (20001032329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114072 + ... + 230248.

Almost surely, 2^20001032320 is an apocalyptic number.

20001032320 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 20001032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996565900).

20001032320 is an abundant number, since it is smaller than the sum of its proper divisors (27992099480).

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

20001032320 is a wasteful number, since it uses less digits than its factorization.

20001032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116465 (or 116453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20001032320 its reverse (2323010002), we get a palindrome (22324042322).

The spelling of 20001032320 in words is "twenty billion, one million, thirty-two thousand, three hundred twenty".