1685143550240 has 144 divisors (see below), whose sum is σ = 4204696334328. Its totient is φ = 638100553728.

The previous prime is 1685143550231. The next prime is 1685143550261. The reversal of 1685143550240 is 420553415861.

It can be written as a sum of positive squares in 4 ways, for example, as 1051699474576 + 633444075664 = 1025524^2 + 795892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1685143550191 and 1685143550200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8107454 + ... + 8312706.

Almost surely, 2^{1685143550240} is an apocalyptic number.

1685143550240 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 1685143550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102348167164).

1685143550240 is an abundant number, since it is smaller than the sum of its proper divisors (2519552784088).

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

1685143550240 is a wasteful number, since it uses less digits than its factorization.

1685143550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205411 (or 205380 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The spelling of 1685143550240 in words is "one trillion, six hundred eighty-five billion, one hundred forty-three million, five hundred fifty thousand, two hundred forty".