480005088000 has 288 divisors, whose sum is σ = 1596146452992. Its totient is φ = 127856128000.

The previous prime is 480005087941. The next prime is 480005088001. The reversal of 480005088000 is 880500084.

It is not an unprimeable number, because it can be changed into a prime (480005088001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104733709 + ... + 104738291.

It is an arithmetic number, because the mean of its divisors is an integer number (5542175184).

Almost surely, 2^480005088000 is an apocalyptic number.

480005088000 is a gapful number since it is divisible by the number (40) 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 480005088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798073226496).

480005088000 is an abundant number, since it is smaller than the sum of its proper divisors (1116141364992).

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

480005088000 is a wasteful number, since it uses less digits than its factorization.

480005088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

Adding to 480005088000 its reverse (880500084), we get a palindrome (480885588084).

The spelling of 480005088000 in words is "four hundred eighty billion, five million, eighty-eight thousand".