1705966216680 has 128 divisors (see below), whose sum is σ = 5763264307200. Its totient is φ = 400226668800.

The previous prime is 1705966216673. The next prime is 1705966216697. The reversal of 1705966216680 is 866126695071.

It is a self number, because there is not a number n which added to its sum of digits gives 1705966216680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20804220 + ... + 20886059.

It is an arithmetic number, because the mean of its divisors is an integer number (45025502400).

Almost surely, 2^{1705966216680} is an apocalyptic number.

1705966216680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1705966216680 is an abundant number, since it is smaller than the sum of its proper divisors (4057298090520).

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

1705966216680 is a wasteful number, since it uses less digits than its factorization.

1705966216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41690335 (or 41690331 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1705966216680 in words is "one trillion, seven hundred five billion, nine hundred sixty-six million, two hundred sixteen thousand, six hundred eighty".