11565115016 has 128 divisors (see below), whose sum is σ = 28780012800. Its totient is φ = 4228485120.

The previous prime is 11565114991. The next prime is 11565115027. The reversal of 11565115016 is 61051156511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556916 + ... + 577308.

It is an arithmetic number, because the mean of its divisors is an integer number (224843850).

Almost surely, 2^11565115016 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 11565115016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14390006400).

11565115016 is an abundant number, since it is smaller than the sum of its proper divisors (17214897784).

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

11565115016 is a wasteful number, since it uses less digits than its factorization.

11565115016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20479 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 11565115016 in words is "eleven billion, five hundred sixty-five million, one hundred fifteen thousand, sixteen".