11565225516 has 96 divisors (see below), whose sum is σ = 30970533888. Its totient is φ = 3331342080.

The previous prime is 11565225509. The next prime is 11565225523. The reversal of 11565225516 is 61552256511.

11565225516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11565225509) and next prime (11565225523).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134346 + ... + 202926.

It is an arithmetic number, because the mean of its divisors is an integer number (322609728).

Almost surely, 2^11565225516 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 11565225516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485266944).

11565225516 is an abundant number, since it is smaller than the sum of its proper divisors (19405308372).

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

11565225516 is a wasteful number, since it uses less digits than its factorization.

11565225516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68671 (or 68669 counting only the distinct ones).

The product of its digits is 90000, while the sum is 39.

The spelling of 11565225516 in words is "eleven billion, five hundred sixty-five million, two hundred twenty-five thousand, five hundred sixteen".