852855776640 has 768 divisors, whose sum is σ = 3448326435840. Its totient is φ = 190207180800.

The previous prime is 852855776609. The next prime is 852855776657. The reversal of 852855776640 is 46677558258.

852855776640 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 557 + 76 + 6 + 4 + 0 = 666.

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 Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322195797 + ... + 322198443.

It is an arithmetic number, because the mean of its divisors is an integer number (4490008380).

Almost surely, 2^852855776640 is an apocalyptic number.

852855776640 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 852855776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724163217920).

852855776640 is an abundant number, since it is smaller than the sum of its proper divisors (2595470659200).

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

852855776640 is a wasteful number, since it uses less digits than its factorization.

852855776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 852855776640 in words is "eight hundred fifty-two billion, eight hundred fifty-five million, seven hundred seventy-six thousand, six hundred forty".