8482421152800 has 1440 divisors, whose sum is σ = 37385881150464. Its totient is φ = 1830408192000.

The previous prime is 8482421152783. The next prime is 8482421152817. The reversal of 8482421152800 is 82511242848.

It is a happy number.

8482421152800 is a `hidden beast` number, since 8 + 4 + 82 + 42 + 1 + 1 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8482421152783) and next prime (8482421152817).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×8482421152800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 576518244 + ... + 576532956.

Almost surely, 2^{8482421152800} is an apocalyptic number.

8482421152800 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 8482421152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692940575232).

8482421152800 is an abundant number, since it is smaller than the sum of its proper divisors (28903459997664).

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

8482421152800 is a wasteful number, since it uses less digits than its factorization.

8482421152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14824 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 8482421152800 in words is "eight trillion, four hundred eighty-two billion, four hundred twenty-one million, one hundred fifty-two thousand, eight hundred".