11552165360 has 80 divisors (see below), whose sum is σ = 27340250112. Its totient is φ = 4538265600.

The previous prime is 11552165353. The next prime is 11552165369. The reversal of 11552165360 is 6356125511.

It is a Cunningham number, because it is equal to 107481²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11552165360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552165369) 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, 4297937 + ... + 4300623.

Almost surely, 2^11552165360 is an apocalyptic number.

11552165360 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 11552165360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670125056).

11552165360 is an abundant number, since it is smaller than the sum of its proper divisors (15788084752).

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

11552165360 is a wasteful number, since it uses less digits than its factorization.

11552165360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 11552165360 in words is "eleven billion, five hundred fifty-two million, one hundred sixty-five thousand, three hundred sixty".