852524300256 has 384 divisors, whose sum is σ = 2430193933440. Its totient is φ = 261144576000.

The previous prime is 852524300237. The next prime is 852524300291. The reversal of 852524300256 is 652003425258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841583206 + ... + 841584218.

It is an arithmetic number, because the mean of its divisors is an integer number (6328630035).

Almost surely, 2^852524300256 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 852524300256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215096966720).

852524300256 is an abundant number, since it is smaller than the sum of its proper divisors (1577669633184).

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

852524300256 is a wasteful number, since it uses less digits than its factorization.

852524300256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 852524300256 in words is "eight hundred fifty-two billion, five hundred twenty-four million, three hundred thousand, two hundred fifty-six".