1166050393200 has 1440 divisors, whose sum is σ = 5577052331520. Its totient is φ = 228024115200.

The previous prime is 1166050393181. The next prime is 1166050393219. The reversal of 1166050393200 is 23930506611.

1166050393200 is a `hidden beast` number, since 1 + 1 + 6 + 60 + 5 + 0 + 393 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1166050393181) and next prime (1166050393219).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98954509 + ... + 98966291.

It is an arithmetic number, because the mean of its divisors is an integer number (3872953008).

Almost surely, 2^{1166050393200} is an apocalyptic number.

1166050393200 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 1166050393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788526165760).

1166050393200 is an abundant number, since it is smaller than the sum of its proper divisors (4411001938320).

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

1166050393200 is a wasteful number, since it uses less digits than its factorization.

1166050393200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 1166050393200 its reverse (23930506611), we get a palindrome (1189980899811).

The spelling of 1166050393200 in words is "one trillion, one hundred sixty-six billion, fifty million, three hundred ninety-three thousand, two hundred".