1685905009152 has 640 divisors, whose sum is σ = 5788489512960. Its totient is φ = 424045117440.

The previous prime is 1685905009141. The next prime is 1685905009157. The reversal of 1685905009152 is 2519005095861.

It is a junction number, because it is equal to n+sod(n) for n = 1685905009095 and 1685905009104.

It is not an unprimeable number, because it can be changed into a prime (1685905009157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336438327 + ... + 336443337.

It is an arithmetic number, because the mean of its divisors is an integer number (9044514864).

Almost surely, 2^{1685905009152} is an apocalyptic number.

1685905009152 is a gapful number since it is divisible by the number (12) 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 1685905009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894244756480).

1685905009152 is an abundant number, since it is smaller than the sum of its proper divisors (4102584503808).

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

1685905009152 is a wasteful number, since it uses less digits than its factorization.

1685905009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 51.

The spelling of 1685905009152 in words is "one trillion, six hundred eighty-five billion, nine hundred five million, nine thousand, one hundred fifty-two".