852971212800 has 1872 divisors, whose sum is σ = 3726666478080. Its totient is φ = 189351198720.

The previous prime is 852971212799. The next prime is 852971212817. The reversal of 852971212800 is 8212179258.

852971212800 is a `hidden beast` number, since 85 + 297 + 1 + 2 + 1 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10276761559 + ... + 10276761641.

It is an arithmetic number, because the mean of its divisors is an integer number (1990740640).

Almost surely, 2^852971212800 is an apocalyptic number.

852971212800 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 852971212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863333239040).

852971212800 is an abundant number, since it is smaller than the sum of its proper divisors (2873695265280).

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

852971212800 is an equidigital number, since it uses as much as digits as its factorization.

852971212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 852971212800 in words is "eight hundred fifty-two billion, nine hundred seventy-one million, two hundred twelve thousand, eight hundred".