852867582336 has 1728 divisors, whose sum is σ = 3365545528800. Its totient is φ = 206077132800.

The previous prime is 852867582271. The next prime is 852867582349. The reversal of 852867582336 is 633285768258.

852867582336 is a `hidden beast` number, since 8 + 528 + 6 + 7 + 58 + 23 + 36 = 666.

It is a super-2 number, since 2×852867582336² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9582781780 + ... + 9582781868.

Almost surely, 2^852867582336 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 852867582336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682772764400).

852867582336 is an abundant number, since it is smaller than the sum of its proper divisors (2512677946464).

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

852867582336 is a wasteful number, since it uses less digits than its factorization.

852867582336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 196 counting only the distinct ones).

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

The spelling of 852867582336 in words is "eight hundred fifty-two billion, eight hundred sixty-seven million, five hundred eighty-two thousand, three hundred thirty-six".