852225216000 has 640 divisors, whose sum is σ = 2949860339712. Its totient is φ = 218050560000.

The previous prime is 852225215983. The next prime is 852225216001. The reversal of 852225216000 is 612522258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852225216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779711454 + ... + 779712546.

Almost surely, 2^852225216000 is an apocalyptic number.

852225216000 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 852225216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474930169856).

852225216000 is an abundant number, since it is smaller than the sum of its proper divisors (2097635123712).

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

852225216000 is a wasteful number, since it uses less digits than its factorization.

852225216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 852225216000 its reverse (612522258), we get a palindrome (852837738258).

The spelling of 852225216000 in words is "eight hundred fifty-two billion, two hundred twenty-five million, two hundred sixteen thousand".