11567289120 has 96 divisors (see below), whose sum is σ = 36467807040. Its totient is φ = 3081999360.

The previous prime is 11567289109. The next prime is 11567289143. The reversal of 11567289120 is 2198276511.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594750 + ... + 613890.

It is an arithmetic number, because the mean of its divisors is an integer number (379872990).

Almost surely, 2^11567289120 is an apocalyptic number.

11567289120 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 11567289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233903520).

11567289120 is an abundant number, since it is smaller than the sum of its proper divisors (24900517920).

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

11567289120 is a wasteful number, since it uses less digits than its factorization.

11567289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20418 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 11567289120 in words is "eleven billion, five hundred sixty-seven million, two hundred eighty-nine thousand, one hundred twenty".