1166275366300 has 144 divisors (see below), whose sum is σ = 2808737979264. Its totient is φ = 416763360000.

The previous prime is 1166275366261. The next prime is 1166275366301. The reversal of 1166275366300 is 36635726611.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166275366301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78566679 + ... + 78581521.

It is an arithmetic number, because the mean of its divisors is an integer number (19505124856).

Almost surely, 2^{1166275366300} is an apocalyptic number.

1166275366300 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 1166275366300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404368989632).

1166275366300 is an abundant number, since it is smaller than the sum of its proper divisors (1642462612964).

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

1166275366300 is a wasteful number, since it uses less digits than its factorization.

1166275366300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16100 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 1166275366300 in words is "one trillion, one hundred sixty-six billion, two hundred seventy-five million, three hundred sixty-six thousand, three hundred".