10805332832 has 144 divisors (see below), whose sum is σ = 26005674240. Its totient is φ = 4316861952.

The previous prime is 10805332829. The next prime is 10805332859. The reversal of 10805332832 is 23823350801.

It is a super-2 number, since 2×10805332832² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10805332792 and 10805332801.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68823698 + ... + 68823854.

It is an arithmetic number, because the mean of its divisors is an integer number (180594960).

Almost surely, 2^10805332832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10805332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002837120).

10805332832 is an abundant number, since it is smaller than the sum of its proper divisors (15200341408).

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

10805332832 is a wasteful number, since it uses less digits than its factorization.

10805332832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 10805332832 in words is "ten billion, eight hundred five million, three hundred thirty-two thousand, eight hundred thirty-two".