20001032000 has 112 divisors (see below), whose sum is σ = 49698005760. Its totient is φ = 7973696000.

The previous prime is 20001031991. The next prime is 20001032003. The reversal of 20001032000 is 23010002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483981 + ... + 2492019.

Almost surely, 2^20001032000 is an apocalyptic number.

20001032000 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 20001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24849002880).

20001032000 is an abundant number, since it is smaller than the sum of its proper divisors (29696973760).

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

20001032000 is an equidigital number, since it uses as much as digits as its factorization.

20001032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20001032000 its reverse (23010002), we get a palindrome (20024042002).

The spelling of 20001032000 in words is "twenty billion, one million, thirty-two thousand".