1165295559168 has 1120 divisors, whose sum is σ = 3975350894592. Its totient is φ = 338610585600.

The previous prime is 1165295559097. The next prime is 1165295559179. The reversal of 1165295559168 is 8619555925611.

1165295559168 is a `hidden beast` number, since 1 + 1 + 6 + 529 + 55 + 59 + 1 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9175555521 + ... + 9175555647.

Almost surely, 2^{1165295559168} is an apocalyptic number.

1165295559168 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 1165295559168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987675447296).

1165295559168 is an abundant number, since it is smaller than the sum of its proper divisors (2810055335424).

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

1165295559168 is an equidigital number, since it uses as much as digits as its factorization.

1165295559168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 63.

The spelling of 1165295559168 in words is "one trillion, one hundred sixty-five billion, two hundred ninety-five million, five hundred fifty-nine thousand, one hundred sixty-eight".