10032305920 has 288 divisors, whose sum is σ = 30278932992. Its totient is φ = 3099672576.

The previous prime is 10032305917. The next prime is 10032305929. The reversal of 10032305920 is 2950323001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032305929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5007639 + ... + 5009641.

It is an arithmetic number, because the mean of its divisors is an integer number (105135184).

Almost surely, 2^10032305920 is an apocalyptic number.

10032305920 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 10032305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139466496).

10032305920 is an abundant number, since it is smaller than the sum of its proper divisors (20246627072).

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

10032305920 is a wasteful number, since it uses less digits than its factorization.

10032305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 10032305920 its reverse (2950323001), we get a palindrome (12982628921).

The spelling of 10032305920 in words is "ten billion, thirty-two million, three hundred five thousand, nine hundred twenty".