1166682528000 has 2880 divisors, whose sum is σ = 5250312587520. Its totient is φ = 253919232000.

The previous prime is 1166682527993. The next prime is 1166682528013. The reversal of 1166682528000 is 8252866611.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1166682528000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 14056415959 + ... + 14056416041.

It is an arithmetic number, because the mean of its divisors is an integer number (1823025204).

Almost surely, 2^{1166682528000} is an apocalyptic number.

1166682528000 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 1166682528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625156293760).

1166682528000 is an abundant number, since it is smaller than the sum of its proper divisors (4083630059520).

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

1166682528000 is a wasteful number, since it uses less digits than its factorization.

1166682528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1166682528000 in words is "one trillion, one hundred sixty-six billion, six hundred eighty-two million, five hundred twenty-eight thousand".