1686065886960 has 640 divisors, whose sum is σ = 6990059274240. Its totient is φ = 326144102400.

The previous prime is 1686065886917. The next prime is 1686065886977. The reversal of 1686065886960 is 696885606861.

It is a super-2 number, since 2×1686065886960² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12798225 + ... + 12929295.

It is an arithmetic number, because the mean of its divisors is an integer number (10921967616).

Almost surely, 2^{1686065886960} is an apocalyptic number.

1686065886960 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 1686065886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495029637120).

1686065886960 is an abundant number, since it is smaller than the sum of its proper divisors (5303993387280).

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

1686065886960 is a wasteful number, since it uses less digits than its factorization.

1686065886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131157 (or 131151 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 69.

The spelling of 1686065886960 in words is "one trillion, six hundred eighty-six billion, sixty-five million, eight hundred eighty-six thousand, nine hundred sixty".