8452821484800 has 5184 divisors, whose sum is σ = 42457975848960. Its totient is φ = 1625868288000.

The previous prime is 8452821484771. The next prime is 8452821484813. The reversal of 8452821484800 is 84841282548.

It is a happy number.

8452821484800 is a `hidden beast` number, since 8 + 4 + 5 + 2 + 82 + 1 + 484 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 272671660785 + ... + 272671660815.

Almost surely, 2^{8452821484800} is an apocalyptic number.

8452821484800 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 8452821484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228987924480).

8452821484800 is an abundant number, since it is smaller than the sum of its proper divisors (34005154364160).

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

8452821484800 is a wasteful number, since it uses less digits than its factorization.

8452821484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 8452821484800 in words is "eight trillion, four hundred fifty-two billion, eight hundred twenty-one million, four hundred eighty-four thousand, eight hundred".