1166505600 has 288 divisors, whose sum is σ = 4166251200. Its totient is φ = 286740480.

The previous prime is 1166505583. The next prime is 1166505601. The reversal of 1166505600 is 65056611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1166505601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1622041 + ... + 1622759.

It is an arithmetic number, because the mean of its divisors is an integer number (14466150).

Almost surely, 2^1166505600 is an apocalyptic number.

1166505600 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 1166505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083125600).

1166505600 is an abundant number, since it is smaller than the sum of its proper divisors (2999745600).

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

1166505600 is a wasteful number, since it uses less digits than its factorization.

1166505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1166505600 is about 34154.1446972399. The cubic root of 1166505600 is about 1052.6781519043.

The spelling of 1166505600 in words is "one billion, one hundred sixty-six million, five hundred five thousand, six hundred".