480577021056 has 512 divisors, whose sum is σ = 1666735488000. Its totient is φ = 134747504640.

The previous prime is 480577021031. The next prime is 480577021073. The reversal of 480577021056 is 650120775084.

480577021056 is a `hidden beast` number, since 4 + 8 + 0 + 577 + 0 + 21 + 0 + 56 = 666.

480577021056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31051336 + ... + 31066808.

It is an arithmetic number, because the mean of its divisors is an integer number (3255342750).

Almost surely, 2^480577021056 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 480577021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833367744000).

480577021056 is an abundant number, since it is smaller than the sum of its proper divisors (1186158466944).

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

480577021056 is a wasteful number, since it uses less digits than its factorization.

480577021056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15569 (or 15551 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 480577021056 in words is "four hundred eighty billion, five hundred seventy-seven million, twenty-one thousand, fifty-six".