1165475127168 has 288 divisors, whose sum is σ = 3824675389080. Its totient is φ = 337816934400.

The previous prime is 1165475127161. The next prime is 1165475127199. The reversal of 1165475127168 is 8617215745611.

1165475127168 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 475 + 1 + 2 + 7 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165475127161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6616558 + ... + 6790418.

Almost surely, 2^{1165475127168} is an apocalyptic number.

1165475127168 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 1165475127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912337694540).

1165475127168 is an abundant number, since it is smaller than the sum of its proper divisors (2659200261912).

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

1165475127168 is a wasteful number, since it uses less digits than its factorization.

1165475127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173938 (or 173900 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The spelling of 1165475127168 in words is "one trillion, one hundred sixty-five billion, four hundred seventy-five million, one hundred twenty-seven thousand, one hundred sixty-eight".