479935285056 has 280 divisors, whose sum is σ = 1452708157824. Its totient is φ = 156636426240.

The previous prime is 479935285033. The next prime is 479935285163. The reversal of 479935285056 is 650582539974.

479935285056 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 3 + 528 + 50 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 479935284984 and 479935285002.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 48615801 + ... + 48625671.

Almost surely, 2^479935285056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479935285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726354078912).

479935285056 is an abundant number, since it is smaller than the sum of its proper divisors (972772872768).

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

479935285056 is a wasteful number, since it uses less digits than its factorization.

479935285056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 479935285056 in words is "four hundred seventy-nine billion, nine hundred thirty-five million, two hundred eighty-five thousand, fifty-six".