1685606125824 has 144 divisors (see below), whose sum is σ = 4995894926400. Its totient is φ = 560599363584.

The previous prime is 1685606125817. The next prime is 1685606125829. The reversal of 1685606125824 is 4285216065861.

1685606125824 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 606 + 1 + 2 + 5 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1685606125824² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1685606125829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2786772 + ... + 3337260.

Almost surely, 2^{1685606125824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685606125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497947463200).

1685606125824 is an abundant number, since it is smaller than the sum of its proper divisors (3310288800576).

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

1685606125824 is an equidigital number, since it uses as much as digits as its factorization.

1685606125824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550957 (or 550937 counting only the distinct ones).

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

The spelling of 1685606125824 in words is "one trillion, six hundred eighty-five billion, six hundred six million, one hundred twenty-five thousand, eight hundred twenty-four".