852950995200 has 1188 divisors, whose sum is σ = 3305668007908. Its totient is φ = 217678233600.

The previous prime is 852950995177. The next prime is 852950995241. The reversal of 852950995200 is 2599059258.

852950995200 is a `hidden beast` number, since 8 + 5 + 29 + 5 + 0 + 99 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39318130944 + 813632864256 = 198288^2 + 902016^2 .

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 131 ways as a sum of consecutive naturals, for example, 13982803170 + ... + 13982803230.

Almost surely, 2^852950995200 is an apocalyptic number.

852950995200 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 852950995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652834003954).

852950995200 is an abundant number, since it is smaller than the sum of its proper divisors (2452717012708).

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

852950995200 is an frugal number, since it uses more digits than its factorization.

852950995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 852950995200 in words is "eight hundred fifty-two billion, nine hundred fifty million, nine hundred ninety-five thousand, two hundred".