1161982207680 has 448 divisors, whose sum is σ = 4263724597248. Its totient is φ = 262627983360.

The previous prime is 1161982207669. The next prime is 1161982207703. The reversal of 1161982207680 is 867022891611.

It is a tau number, because it is divible by the number of its divisors (448).

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, 222046344 + ... + 222051576.

Almost surely, 2^{1161982207680} is an apocalyptic number.

1161982207680 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 1161982207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131862298624).

1161982207680 is an abundant number, since it is smaller than the sum of its proper divisors (3101742389568).

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

1161982207680 is a wasteful number, since it uses less digits than its factorization.

1161982207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 1161982207680 in words is "one trillion, one hundred sixty-one billion, nine hundred eighty-two million, two hundred seven thousand, six hundred eighty".