486559413790800 has 480 divisors, whose sum is σ = 1788507762462720. Its totient is φ = 110762348851200.

The previous prime is 486559413790741. The next prime is 486559413790829. The reversal of 486559413790800 is 8097314955684.

It is a congruent number.

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, 3116515141 + ... + 3116671259.

It is an arithmetic number, because the mean of its divisors is an integer number (3726057838464).

Almost surely, 2^{486559413790800} is an apocalyptic number.

486559413790800 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 486559413790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894253881231360).

486559413790800 is an abundant number, since it is smaller than the sum of its proper divisors (1301948348671920).

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

486559413790800 is a wasteful number, since it uses less digits than its factorization.

486559413790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157651 (or 157640 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 486559413790800 in words is "four hundred eighty-six trillion, five hundred fifty-nine billion, four hundred thirteen million, seven hundred ninety thousand, eight hundred".