11595664479168 has 224 divisors, whose sum is σ = 42500704350720. Its totient is φ = 3011860869120.

The previous prime is 11595664479131. The next prime is 11595664479193. The reversal of 11595664479168 is 86197446659511.

11595664479168 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 566 + 4 + 47 + 9 + 16 + 8 = 666.

11595664479168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11595664479096 and 11595664479105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43441321 + ... + 43707432.

It is an arithmetic number, because the mean of its divisors is an integer number (189735287280).

Almost surely, 2^{11595664479168} is an apocalyptic number.

11595664479168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11595664479168 is an abundant number, since it is smaller than the sum of its proper divisors (30905039871552).

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

11595664479168 is a wasteful number, since it uses less digits than its factorization.

11595664479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87148792 (or 87148776 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 11595664479168 in words is "eleven trillion, five hundred ninety-five billion, six hundred sixty-four million, four hundred seventy-nine thousand, one hundred sixty-eight".