486133200960 has 672 divisors, whose sum is σ = 1766721847296. Its totient is φ = 113044377600.

The previous prime is 486133200947. The next prime is 486133200979. The reversal of 486133200960 is 69002331684.

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, 457321389 + ... + 457322451.

It is an arithmetic number, because the mean of its divisors is an integer number (2629050368).

Almost surely, 2^486133200960 is an apocalyptic number.

486133200960 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 486133200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883360923648).

486133200960 is an abundant number, since it is smaller than the sum of its proper divisors (1280588646336).

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

486133200960 is a wasteful number, since it uses less digits than its factorization.

486133200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 486133200960 in words is "four hundred eighty-six billion, one hundred thirty-three million, two hundred thousand, nine hundred sixty".