8482958720000 has 440 divisors, whose sum is σ = 21508108702080. Its totient is φ = 3342735360000.

The previous prime is 8482958719927. The next prime is 8482958720003. The reversal of 8482958720000 is 278592848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8482958720003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14856319715 + ... + 14856320285.

It is an arithmetic number, because the mean of its divisors is an integer number (48882065232).

Almost surely, 2^{8482958720000} is an apocalyptic number.

8482958720000 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 8482958720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754054351040).

8482958720000 is an abundant number, since it is smaller than the sum of its proper divisors (13025149982080).

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

8482958720000 is a wasteful number, since it uses less digits than its factorization.

8482958720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 8482958720000 in words is "eight trillion, four hundred eighty-two billion, nine hundred fifty-eight million, seven hundred twenty thousand".