11506161160 has 64 divisors (see below), whose sum is σ = 27941114880. Its totient is φ = 4239164160.

The previous prime is 11506161103. The next prime is 11506161167. The reversal of 11506161160 is 6116160511.

It is not an unprimeable number, because it can be changed into a prime (11506161167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216865 + ... + 264655.

It is an arithmetic number, because the mean of its divisors is an integer number (436579920).

Almost surely, 2^11506161160 is an apocalyptic number.

11506161160 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 11506161160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970557440).

11506161160 is an abundant number, since it is smaller than the sum of its proper divisors (16434953720).

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

11506161160 is a wasteful number, since it uses less digits than its factorization.

11506161160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48278 (or 48274 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 11506161160 in words is "eleven billion, five hundred six million, one hundred sixty-one thousand, one hundred sixty".