1966085027760 has 1280 divisors, whose sum is σ = 7694507520000. Its totient is φ = 414228971520.

The previous prime is 1966085027729. The next prime is 1966085027779. The reversal of 1966085027760 is 677205806691.

It is a self number, because there is not a number n which added to its sum of digits gives 1966085027760.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5187559251 + ... + 5187559629.

It is an arithmetic number, because the mean of its divisors is an integer number (6011334000).

Almost surely, 2^{1966085027760} is an apocalyptic number.

1966085027760 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 1966085027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760000).

1966085027760 is an abundant number, since it is smaller than the sum of its proper divisors (5728422492240).

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

1966085027760 is a wasteful number, since it uses less digits than its factorization.

1966085027760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 1966085027760 in words is "one trillion, nine hundred sixty-six billion, eighty-five million, twenty-seven thousand, seven hundred sixty".