8482081536000 has 960 divisors, whose sum is σ = 33284182932000. Its totient is φ = 2142742118400.

The previous prime is 8482081535903. The next prime is 8482081536001. The reversal of 8482081536000 is 6351802848.

8482081536000 is a `hidden beast` number, since 8 + 4 + 8 + 20 + 8 + 15 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8482081536001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393973236 + ... + 393994764.

Almost surely, 2^{8482081536000} is an apocalyptic number.

8482081536000 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 8482081536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642091466000).

8482081536000 is an abundant number, since it is smaller than the sum of its proper divisors (24802101396000).

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

8482081536000 is a wasteful number, since it uses less digits than its factorization.

8482081536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21597 (or 21558 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8482081536000 in words is "eight trillion, four hundred eighty-two billion, eighty-one million, five hundred thirty-six thousand".