480880080000 has 480 divisors, whose sum is σ = 1757682283500. Its totient is φ = 126120960000.

The previous prime is 480880079971. The next prime is 480880080001. The reversal of 480880080000 is 80088084.

It can be written as a sum of positive squares in 10 ways, for example, as 277796460096 + 203083619904 = 527064^2 + 450648^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×480880080000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480880080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43914526 + ... + 43925474.

Almost surely, 2^480880080000 is an apocalyptic number.

480880080000 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 480880080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878841141750).

480880080000 is an abundant number, since it is smaller than the sum of its proper divisors (1276802203500).

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

480880080000 is a wasteful number, since it uses less digits than its factorization.

480880080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 480880080000 in words is "four hundred eighty billion, eight hundred eighty million, eighty thousand".