852191125128 has 240 divisors, whose sum is σ = 2762972815680. Its totient is φ = 240393127104.

The previous prime is 852191125073. The next prime is 852191125133. The reversal of 852191125128 is 821521191258.

852191125128 is a `hidden beast` number, since 8 + 5 + 2 + 19 + 112 + 512 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28294125 + ... + 28324227.

It is an arithmetic number, because the mean of its divisors is an integer number (11512386732).

Almost surely, 2^852191125128 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 852191125128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381486407840).

852191125128 is an abundant number, since it is smaller than the sum of its proper divisors (1910781690552).

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

852191125128 is a wasteful number, since it uses less digits than its factorization.

852191125128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30286 (or 30194 counting only the distinct ones).

The product of its digits is 115200, while the sum is 45.

The spelling of 852191125128 in words is "eight hundred fifty-two billion, one hundred ninety-one million, one hundred twenty-five thousand, one hundred twenty-eight".