1166050304520 has 256 divisors, whose sum is σ = 3579991430400. Its totient is φ = 303774105600.

The previous prime is 1166050304491. The next prime is 1166050304533. The reversal of 1166050304520 is 254030506611.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 445566252 + ... + 445568868.

It is an arithmetic number, because the mean of its divisors is an integer number (13984341525).

Almost surely, 2^{1166050304520} is an apocalyptic number.

1166050304520 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 1166050304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789995715200).

1166050304520 is an abundant number, since it is smaller than the sum of its proper divisors (2413941125880).

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

1166050304520 is a wasteful number, since it uses less digits than its factorization.

1166050304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1166050304520 in words is "one trillion, one hundred sixty-six billion, fifty million, three hundred four thousand, five hundred twenty".