485232768000 has 880 divisors, whose sum is σ = 1915421034384. Its totient is φ = 121739673600.

The previous prime is 485232767959. The next prime is 485232768019. The reversal of 485232768000 is 867232584.

485232768000 is a `hidden beast` number, since 48 + 523 + 2 + 7 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18951376896 + 466281391104 = 137664^2 + 682848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176254624 + ... + 176257376.

Almost surely, 2^485232768000 is an apocalyptic number.

485232768000 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 485232768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957710517192).

485232768000 is an abundant number, since it is smaller than the sum of its proper divisors (1430188266384).

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

485232768000 is a wasteful number, since it uses less digits than its factorization.

485232768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 485232768000 in words is "four hundred eighty-five billion, two hundred thirty-two million, seven hundred sixty-eight thousand".