11561079168 has 288 divisors, whose sum is σ = 35461324080. Its totient is φ = 3614054400.

The previous prime is 11561079149. The next prime is 11561079197. The reversal of 11561079168 is 86197016511.

11561079168 is a `hidden beast` number, since 1 + 1 + 561 + 0 + 79 + 16 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37173733 + ... + 37174043.

Almost surely, 2^11561079168 is an apocalyptic number.

11561079168 is a gapful number since it is divisible by the number (18) 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 11561079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730662040).

11561079168 is an abundant number, since it is smaller than the sum of its proper divisors (23900244912).

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

11561079168 is a wasteful number, since it uses less digits than its factorization.

11561079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11561079168 in words is "eleven billion, five hundred sixty-one million, seventy-nine thousand, one hundred sixty-eight".