2185756852500 has 1200 divisors, whose sum is σ = 8218298365200. Its totient is φ = 506383488000.

The previous prime is 2185756852469. The next prime is 2185756852507. The reversal of 2185756852500 is 52586575812.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2185756852500 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 7 + 56 + 85 + 2 + 500 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 269597715984 + 1916159136516 = 519228^2 + 1384254^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 16575 × 9945 × 13260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185756852507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 128573932492 + ... + 128573932508.

It is an arithmetic number, because the mean of its divisors is an integer number (6848581971).

Almost surely, 2^{2185756852500} is an apocalyptic number.

2185756852500 is a gapful number since it is divisible by the number (20) 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 2185756852500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109149182600).

2185756852500 is an abundant number, since it is smaller than the sum of its proper divisors (6032541512700).

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

2185756852500 is an frugal number, since it uses more digits than its factorization.

2185756852500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 2185756852500 in words is "two trillion, one hundred eighty-five billion, seven hundred fifty-six million, eight hundred fifty-two thousand, five hundred".