852482890000 has 225 divisors, whose sum is σ = 2402738789187. Its totient is φ = 292058256000.

The previous prime is 852482889989. The next prime is 852482890009. The reversal of 852482890000 is 98284258.

The square root of 852482890000 is 923300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 66834658576 + 785648231424 = 258524^2 + 886368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852482890009) 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 44 ways as a sum of consecutive naturals, for example, 646309341 + ... + 646310659.

Almost surely, 2^852482890000 is an apocalyptic number.

852482890000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

852482890000 is the 923300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852482890000

852482890000 is an abundant number, since it is smaller than the sum of its proper divisors (1550255899187).

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

852482890000 is an frugal number, since it uses more digits than its factorization.

852482890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 852482890000 in words is "eight hundred fifty-two billion, four hundred eighty-two million, eight hundred ninety thousand".