1166585980896 has 144 divisors (see below), whose sum is σ = 3855665923200. Its totient is φ = 327660920064.

The previous prime is 1166585980883. The next prime is 1166585980951. The reversal of 1166585980896 is 6980895856611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4784986 + ... + 5022873.

It is an arithmetic number, because the mean of its divisors is an integer number (26775457800).

Almost surely, 2^{1166585980896} is an apocalyptic number.

1166585980896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1166585980896 is an abundant number, since it is smaller than the sum of its proper divisors (2689079942304).

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

1166585980896 is a wasteful number, since it uses less digits than its factorization.

1166585980896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807941 (or 9807930 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 1166585980896 in words is "one trillion, one hundred sixty-six billion, five hundred eighty-five million, nine hundred eighty thousand, eight hundred ninety-six".