9480821056000 has 960 divisors, whose sum is σ = 28932378789600. Its totient is φ = 3085221888000.

The previous prime is 9480821055931. The next prime is 9480821056067. The reversal of 9480821056000 is 6501280849.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3666704138496 + 5814116917504 = 1914864^2 + 2411248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5547583146 + ... + 5547584854.

Almost surely, 2^{9480821056000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9480821056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466189394800).

9480821056000 is an abundant number, since it is smaller than the sum of its proper divisors (19451557733600).

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

9480821056000 is a wasteful number, since it uses less digits than its factorization.

9480821056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 9480821056000 in words is "nine trillion, four hundred eighty billion, eight hundred twenty-one million, fifty-six thousand".