11567216160 has 288 divisors, whose sum is σ = 42125795712. Its totient is φ = 2880184320.

The previous prime is 11567216153. The next prime is 11567216179. The reversal of 11567216160 is 6161276511.

It is a happy number.

11567216160 is a `hidden beast` number, since 1 + 15 + 6 + 7 + 21 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3205077 + ... + 3208683.

It is an arithmetic number, because the mean of its divisors is an integer number (146270124).

Almost surely, 2^11567216160 is an apocalyptic number.

11567216160 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 11567216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062897856).

11567216160 is an abundant number, since it is smaller than the sum of its proper divisors (30558579552).

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

11567216160 is a wasteful number, since it uses less digits than its factorization.

11567216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11567216160 in words is "eleven billion, five hundred sixty-seven million, two hundred sixteen thousand, one hundred sixty".