1005983666688 has 960 divisors, whose sum is σ = 3692793646080. Its totient is φ = 239210496000.

The previous prime is 1005983666683. The next prime is 1005983666707. The reversal of 1005983666688 is 8866663895001.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1005983666683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1625175243 + ... + 1625175861.

It is an arithmetic number, because the mean of its divisors is an integer number (3846660048).

Almost surely, 2^{1005983666688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005983666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846396823040).

1005983666688 is an abundant number, since it is smaller than the sum of its proper divisors (2686809979392).

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

1005983666688 is a wasteful number, since it uses less digits than its factorization.

1005983666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 1005983666688 in words is "one trillion, five billion, nine hundred eighty-three million, six hundred sixty-six thousand, six hundred eighty-eight".