482577805008 has 720 divisors, whose sum is σ = 1597386510720. Its totient is φ = 134914222080.

The previous prime is 482577804983. The next prime is 482577805009. The reversal of 482577805008 is 800508775284.

482577805008 is a `hidden beast` number, since 4 + 8 + 2 + 57 + 7 + 80 + 500 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482577805009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4427319258 + ... + 4427319366.

It is an arithmetic number, because the mean of its divisors is an integer number (2218592376).

Almost surely, 2^482577805008 is an apocalyptic number.

482577805008 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 482577805008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798693255360).

482577805008 is an abundant number, since it is smaller than the sum of its proper divisors (1114808705712).

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

482577805008 is a wasteful number, since it uses less digits than its factorization.

482577805008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 482577805008 in words is "four hundred eighty-two billion, five hundred seventy-seven million, eight hundred five thousand, eight".