852869470320 has 1200 divisors, whose sum is σ = 3562991477760. Its totient is φ = 185180276736.

The previous prime is 852869470319. The next prime is 852869470333. The reversal of 852869470320 is 23074968258.

852869470320 is a `hidden beast` number, since 8 + 528 + 6 + 94 + 7 + 0 + 3 + 20 = 666.

852869470320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3013672899 + ... + 3013673181.

Almost surely, 2^852869470320 is an apocalyptic number.

852869470320 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 852869470320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781495738880).

852869470320 is an abundant number, since it is smaller than the sum of its proper divisors (2710122007440).

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

852869470320 is a wasteful number, since it uses less digits than its factorization.

852869470320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 852869470320 in words is "eight hundred fifty-two billion, eight hundred sixty-nine million, four hundred seventy thousand, three hundred twenty".