852428626824258 has 144 divisors (see below), whose sum is σ = 2031675015595680. Its totient is φ = 258110730789120.

The previous prime is 852428626824253. The next prime is 852428626824289.

852428626824258 is a `hidden beast` number, since 8 + 5 + 2 + 42 + 86 + 2 + 6 + 82 + 425 + 8 = 666.

852428626824258 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (852428626824253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37487504653 + ... + 37487527391.

It is an arithmetic number, because the mean of its divisors is an integer number (14108854274970).

Almost surely, 2^{852428626824258} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852428626824258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015837507797840).

852428626824258 is an abundant number, since it is smaller than the sum of its proper divisors (1179246388771422).

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

852428626824258 is a wasteful number, since it uses less digits than its factorization.

852428626824258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35405 (or 35391 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 72.

The spelling of 852428626824258 in words is "eight hundred fifty-two trillion, four hundred twenty-eight billion, six hundred twenty-six million, eight hundred twenty-four thousand, two hundred fifty-eight".