480899978125728 has 288 divisors, whose sum is σ = 1551330334209600. Its totient is φ = 129698486378496.

The previous prime is 480899978125627. The next prime is 480899978125751. The reversal of 480899978125728 is 827521879998084.

It is a super-3 number, since 3×480899978125728³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 47 ways as a sum of consecutive naturals, for example, 15044808 + ... + 34469496.

It is an arithmetic number, because the mean of its divisors is an integer number (5386563660450).

Almost surely, 2^{480899978125728} is an apocalyptic number.

480899978125728 is a gapful number since it is divisible by the number (48) 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 480899978125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775665167104800).

480899978125728 is an abundant number, since it is smaller than the sum of its proper divisors (1070430356083872).

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

480899978125728 is a wasteful number, since it uses less digits than its factorization.

480899978125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19425012 (or 19424997 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 87.

The spelling of 480899978125728 in words is "four hundred eighty trillion, eight hundred ninety-nine billion, nine hundred seventy-eight million, one hundred twenty-five thousand, seven hundred twenty-eight".