482528566080 has 1344 divisors, whose sum is σ = 1980008110080. Its totient is φ = 106599628800.

The previous prime is 482528566043. The next prime is 482528566103. The reversal of 482528566080 is 80665825284.

It is a happy number.

482528566080 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 28 + 5 + 6 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2665903590 + ... + 2665903770.

It is an arithmetic number, because the mean of its divisors is an integer number (1473220320).

Almost surely, 2^482528566080 is an apocalyptic number.

482528566080 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 482528566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990004055040).

482528566080 is an abundant number, since it is smaller than the sum of its proper divisors (1497479544000).

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

482528566080 is a wasteful number, since it uses less digits than its factorization.

482528566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 482528566080 in words is "four hundred eighty-two billion, five hundred twenty-eight million, five hundred sixty-six thousand, eighty".