486585688320 has 1008 divisors, whose sum is σ = 1824842091072. Its totient is φ = 124157214720.

The previous prime is 486585688307. The next prime is 486585688373. The reversal of 486585688320 is 23886585684.

486585688320 is a `hidden beast` number, since 4 + 8 + 65 + 8 + 568 + 8 + 3 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2688318630 + ... + 2688318810.

Almost surely, 2^486585688320 is an apocalyptic number.

486585688320 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 486585688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912421045536).

486585688320 is an abundant number, since it is smaller than the sum of its proper divisors (1338256402752).

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

486585688320 is an equidigital number, since it uses as much as digits as its factorization.

486585688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 486585688320 in words is "four hundred eighty-six billion, five hundred eighty-five million, six hundred eighty-eight thousand, three hundred twenty".