852867288000 has 4032 divisors, whose sum is σ = 4343754055680. Its totient is φ = 155271168000.

The previous prime is 852867287999. The next prime is 852867288047. The reversal of 852867288000 is 882768258.

852867288000 is a `hidden beast` number, since 85 + 286 + 7 + 288 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×852867288000² (a number of 25 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 27511847985 + ... + 27511848015.

Almost surely, 2^852867288000 is an apocalyptic number.

852867288000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852867288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171877027840).

852867288000 is an abundant number, since it is smaller than the sum of its proper divisors (3490886767680).

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

852867288000 is a wasteful number, since it uses less digits than its factorization.

852867288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 852867288000 in words is "eight hundred fifty-two billion, eight hundred sixty-seven million, two hundred eighty-eight thousand".