84852532428800 has 360 divisors, whose sum is σ = 215808568409280. Its totient is φ = 33079217356800.

The previous prime is 84852532428791. The next prime is 84852532428823. The reversal of 84852532428800 is 882423525848.

It is a self number, because there is not a number n which added to its sum of digits gives 84852532428800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4639530056 + ... + 4639548344.

Almost surely, 2^{84852532428800} is an apocalyptic number.

84852532428800 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 84852532428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107904284204640).

84852532428800 is an abundant number, since it is smaller than the sum of its proper divisors (130956035980480).

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

84852532428800 is a wasteful number, since it uses less digits than its factorization.

84852532428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615 (or 18584 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 59.

The spelling of 84852532428800 in words is "eighty-four trillion, eight hundred fifty-two billion, five hundred thirty-two million, four hundred twenty-eight thousand, eight hundred".