480565563703056 has 480 divisors, whose sum is σ = 1617771221015040. Its totient is φ = 131558824083456.

The previous prime is 480565563703021. The next prime is 480565563703061. The reversal of 480565563703056 is 650307365565084.

480565563703056 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 6 + 556 + 3 + 70 + 3 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×480565563703056² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480565563702984 and 480565563703002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279097440 + ... + 280814016.

It is an arithmetic number, because the mean of its divisors is an integer number (3370356710448).

Almost surely, 2^{480565563703056} 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 480565563703056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808885610507520).

480565563703056 is an abundant number, since it is smaller than the sum of its proper divisors (1137205657311984).

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

480565563703056 is a wasteful number, since it uses less digits than its factorization.

480565563703056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717103 (or 1717094 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 480565563703056 in words is "four hundred eighty trillion, five hundred sixty-five billion, five hundred sixty-three million, seven hundred three thousand, fifty-six".