1166048332800 has 2112 divisors, whose sum is σ = 4789673441280. Its totient is φ = 247065477120.

The previous prime is 1166048332751. The next prime is 1166048332811. The reversal of 1166048332800 is 82338406611.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11320857549 + ... + 11320857651.

Almost surely, 2^{1166048332800} is an apocalyptic number.

1166048332800 is a gapful number since it is divisible by the number (10) 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 1166048332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394836720640).

1166048332800 is an abundant number, since it is smaller than the sum of its proper divisors (3623625108480).

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

1166048332800 is a wasteful number, since it uses less digits than its factorization.

1166048332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1166048332800 in words is "one trillion, one hundred sixty-six billion, forty-eight million, three hundred thirty-two thousand, eight hundred".