1166575632768 has 768 divisors, whose sum is σ = 4292115609600. Its totient is φ = 295944634368.

The previous prime is 1166575632763. The next prime is 1166575632791. The reversal of 1166575632768 is 8672365756611.

1166575632768 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 5 + 7 + 563 + 2 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166575632763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290697130 + ... + 290701142.

It is an arithmetic number, because the mean of its divisors is an integer number (5588692200).

Almost surely, 2^{1166575632768} is an apocalyptic number.

1166575632768 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 1166575632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146057804800).

1166575632768 is an abundant number, since it is smaller than the sum of its proper divisors (3125539976832).

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

1166575632768 is a wasteful number, since it uses less digits than its factorization.

1166575632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4144 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 1166575632768 in words is "one trillion, one hundred sixty-six billion, five hundred seventy-five million, six hundred thirty-two thousand, seven hundred sixty-eight".