10733032000 has 112 divisors (see below), whose sum is σ = 26638739712. Its totient is φ = 4283788800.

The previous prime is 10733031983. The next prime is 10733032003. The reversal of 10733032000 is 23033701.

10733032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10733032003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4502809 + ... + 4505191.

Almost surely, 2^10733032000 is an apocalyptic number.

10733032000 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 10733032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319369856).

10733032000 is an abundant number, since it is smaller than the sum of its proper divisors (15905707712).

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

10733032000 is an equidigital number, since it uses as much as digits as its factorization.

10733032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 19.

Adding to 10733032000 its reverse (23033701), we get a palindrome (10756065701).

The spelling of 10733032000 in words is "ten billion, seven hundred thirty-three million, thirty-two thousand".