852505311168 has 560 divisors, whose sum is σ = 2988481712128. Its totient is φ = 235146240000.

The previous prime is 852505311167. The next prime is 852505311169. The reversal of 852505311168 is 861113505258.

852505311168 is a `hidden beast` number, since 8 + 5 + 2 + 50 + 531 + 1 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (852505311167) and next prime (852505311169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852505311167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 709828968 + ... + 709830168.

Almost surely, 2^852505311168 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 852505311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494240856064).

852505311168 is an abundant number, since it is smaller than the sum of its proper divisors (2135976400960).

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

852505311168 is a wasteful number, since it uses less digits than its factorization.

852505311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 852505311168 in words is "eight hundred fifty-two billion, five hundred five million, three hundred eleven thousand, one hundred sixty-eight".