852550221600 has 1728 divisors, whose sum is σ = 3853733345280. Its totient is φ = 173682432000.

The previous prime is 852550221583. The next prime is 852550221619. The reversal of 852550221600 is 6122055258.

It is a happy number.

852550221600 is a `hidden beast` number, since 8 + 5 + 25 + 5 + 0 + 2 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4762850311 + ... + 4762850489.

It is an arithmetic number, because the mean of its divisors is an integer number (2230169760).

Almost surely, 2^852550221600 is an apocalyptic number.

852550221600 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 852550221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926866672640).

852550221600 is an abundant number, since it is smaller than the sum of its proper divisors (3001183123680).

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

852550221600 is a wasteful number, since it uses less digits than its factorization.

852550221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 852550221600 its reverse (6122055258), we get a palindrome (858672276858).

The spelling of 852550221600 in words is "eight hundred fifty-two billion, five hundred fifty million, two hundred twenty-one thousand, six hundred".