10968132384 has 144 divisors (see below), whose sum is σ = 34856456544. Its totient is φ = 3242572800.

The previous prime is 10968132379. The next prime is 10968132433. The reversal of 10968132384 is 48323186901.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 87667 + ... + 172109.

It is an arithmetic number, because the mean of its divisors is an integer number (242058726).

Almost surely, 2^10968132384 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 10968132384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428228272).

10968132384 is an abundant number, since it is smaller than the sum of its proper divisors (23888324160).

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

10968132384 is a wasteful number, since it uses less digits than its factorization.

10968132384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84511 (or 84500 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10968132384 in words is "ten billion, nine hundred sixty-eight million, one hundred thirty-two thousand, three hundred eighty-four".