852484276800 has 1008 divisors, whose sum is σ = 3417351275520. Its totient is φ = 200116224000.

The previous prime is 852484276799. The next prime is 852484276859. The reversal of 852484276800 is 8672484258.

852484276800 is a `hidden beast` number, since 8 + 524 + 8 + 42 + 76 + 8 + 0 + 0 = 666.

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, 412026166 + ... + 412028234.

It is an arithmetic number, because the mean of its divisors is an integer number (3390229440).

Almost surely, 2^852484276800 is an apocalyptic number.

852484276800 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 852484276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708675637760).

852484276800 is an abundant number, since it is smaller than the sum of its proper divisors (2564866998720).

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

852484276800 is a wasteful number, since it uses less digits than its factorization.

852484276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 852484276800 in words is "eight hundred fifty-two billion, four hundred eighty-four million, two hundred seventy-six thousand, eight hundred".