10967384960 has 128 divisors (see below), whose sum is σ = 30092774400. Its totient is φ = 3744147456.

The previous prime is 10967384959. The next prime is 10967384969. The reversal of 10967384960 is 6948376901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10967384969) 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, 1065599 + ... + 1075841.

It is an arithmetic number, because the mean of its divisors is an integer number (235099800).

Almost surely, 2^10967384960 is an apocalyptic number.

10967384960 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 10967384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046387200).

10967384960 is an abundant number, since it is smaller than the sum of its proper divisors (19125389440).

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

10967384960 is a wasteful number, since it uses less digits than its factorization.

10967384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 10967384960 in words is "ten billion, nine hundred sixty-seven million, three hundred eighty-four thousand, nine hundred sixty".