852789625344 has 120 divisors (see below), whose sum is σ = 2462473693680. Its totient is φ = 284117096448.

The previous prime is 852789625339. The next prime is 852789625349. The reversal of 852789625344 is 443526987258.

852789625344 is a `hidden beast` number, since 8 + 5 + 2 + 7 + 8 + 96 + 2 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (852789625339) and next prime (852789625349).

It is not an unprimeable number, because it can be changed into a prime (852789625349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9109527 + ... + 9202665.

It is an arithmetic number, because the mean of its divisors is an integer number (20520614114).

Almost surely, 2^852789625344 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 852789625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231236846840).

852789625344 is an abundant number, since it is smaller than the sum of its proper divisors (1609684068336).

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

852789625344 is a wasteful number, since it uses less digits than its factorization.

852789625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95150 (or 95131 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 852789625344 in words is "eight hundred fifty-two billion, seven hundred eighty-nine million, six hundred twenty-five thousand, three hundred forty-four".