485587005565320 has 1152 divisors, whose sum is σ = 1719337523904000. Its totient is φ = 118622693376000.

The previous prime is 485587005565303. The next prime is 485587005565357. The reversal of 485587005565320 is 23565500785584.

It is a happy number.

485587005565320 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 8 + 7 + 0 + 0 + 556 + 53 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 347095785981 + ... + 347095787379.

It is an arithmetic number, because the mean of its divisors is an integer number (1492480489500).

Almost surely, 2^{485587005565320} is an apocalyptic number.

485587005565320 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 485587005565320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859668761952000).

485587005565320 is an abundant number, since it is smaller than the sum of its proper divisors (1233750518338680).

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

485587005565320 is a wasteful number, since it uses less digits than its factorization.

485587005565320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 63.

The spelling of 485587005565320 in words is "four hundred eighty-five trillion, five hundred eighty-seven billion, five million, five hundred sixty-five thousand, three hundred twenty".