10002032320 has 112 divisors (see below), whose sum is σ = 27434926080. Its totient is φ = 3402169344.

The previous prime is 10002032311. The next prime is 10002032321. The reversal of 10002032320 is 2323020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 10002032320.

It is not an unprimeable number, because it can be changed into a prime (10002032321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266901 + ... + 302059.

Almost surely, 2^10002032320 is an apocalyptic number.

10002032320 is a gapful number since it is divisible by the number (10) 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 10002032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717463040).

10002032320 is an abundant number, since it is smaller than the sum of its proper divisors (17432893760).

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

10002032320 is a wasteful number, since it uses less digits than its factorization.

10002032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35310 (or 35300 counting only the distinct ones).

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

Adding to 10002032320 its reverse (2323020001), we get a palindrome (12325052321).

The spelling of 10002032320 in words is "ten billion, two million, thirty-two thousand, three hundred twenty".