852202552320 has 1056 divisors, whose sum is σ = 3487411998720. Its totient is φ = 188395683840.

The previous prime is 852202552319. The next prime is 852202552321. The reversal of 852202552320 is 23255202258.

852202552320 is a `hidden beast` number, since 8 + 52 + 20 + 2 + 552 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (852202552319) and next prime (852202552321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852202552321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1350558405 + ... + 1350559035.

Almost surely, 2^852202552320 is an apocalyptic number.

852202552320 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 852202552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743705999360).

852202552320 is an abundant number, since it is smaller than the sum of its proper divisors (2635209446400).

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

852202552320 is a wasteful number, since it uses less digits than its factorization.

852202552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 852202552320 its reverse (23255202258), we get a palindrome (875457754578).

The spelling of 852202552320 in words is "eight hundred fifty-two billion, two hundred two million, five hundred fifty-two thousand, three hundred twenty".