1685168242560 has 1152 divisors, whose sum is σ = 6844709420640. Its totient is φ = 377534545920.

The previous prime is 1685168242553. The next prime is 1685168242591. The reversal of 1685168242560 is 652428615861.

1685168242560 is a `hidden beast` number, since 1 + 6 + 8 + 51 + 6 + 8 + 24 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1685168242497 and 1685168242506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13269041217 + ... + 13269041343.

Almost surely, 2^{1685168242560} is an apocalyptic number.

1685168242560 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 1685168242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422354710320).

1685168242560 is an abundant number, since it is smaller than the sum of its proper divisors (5159541178080).

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

1685168242560 is a wasteful number, since it uses less digits than its factorization.

1685168242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1685168242560 in words is "one trillion, six hundred eighty-five billion, one hundred sixty-eight million, two hundred forty-two thousand, five hundred sixty".