852869191680 has 576 divisors, whose sum is σ = 3344146041600. Its totient is φ = 206749532160.

The previous prime is 852869191651. The next prime is 852869191747. The reversal of 852869191680 is 86191968258.

852869191680 is a `hidden beast` number, since 8 + 528 + 6 + 9 + 19 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27355941 + ... + 27387099.

It is an arithmetic number, because the mean of its divisors is an integer number (5805809100).

Almost surely, 2^852869191680 is an apocalyptic number.

852869191680 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 852869191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672073020800).

852869191680 is an abundant number, since it is smaller than the sum of its proper divisors (2491276849920).

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

852869191680 is a wasteful number, since it uses less digits than its factorization.

852869191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31212 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 852869191680 in words is "eight hundred fifty-two billion, eight hundred sixty-nine million, one hundred ninety-one thousand, six hundred eighty".