10831872672 has 144 divisors (see below), whose sum is σ = 31711260672. Its totient is φ = 3505420800.

The previous prime is 10831872661. The next prime is 10831872673. The reversal of 10831872672 is 27627813801.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10831872673) by changing a digit.

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, 1715922 + ... + 1722222.

It is an arithmetic number, because the mean of its divisors is an integer number (220217088).

Almost surely, 2^10831872672 is an apocalyptic number.

10831872672 is a gapful number since it is divisible by the number (12) 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 10831872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855630336).

10831872672 is an abundant number, since it is smaller than the sum of its proper divisors (20879388000).

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

10831872672 is a wasteful number, since it uses less digits than its factorization.

10831872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10831872672 in words is "ten billion, eight hundred thirty-one million, eight hundred seventy-two thousand, six hundred seventy-two".