852871446560 has 192 divisors, whose sum is σ = 2321024025600. Its totient is φ = 290097807360.

The previous prime is 852871446547. The next prime is 852871446571. The reversal of 852871446560 is 65644178258.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 852871446496 and 852871446505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163039145 + ... + 163044375.

It is an arithmetic number, because the mean of its divisors is an integer number (12088666800).

Almost surely, 2^852871446560 is an apocalyptic number.

852871446560 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 852871446560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160512012800).

852871446560 is an abundant number, since it is smaller than the sum of its proper divisors (1468152579040).

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

852871446560 is a wasteful number, since it uses less digits than its factorization.

852871446560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 852871446560 in words is "eight hundred fifty-two billion, eight hundred seventy-one million, four hundred forty-six thousand, five hundred sixty".