485793871264800 has 2880 divisors, whose sum is σ = 2222306387288064. Its totient is φ = 101123632742400.

The previous prime is 485793871264703. The next prime is 485793871264829. The reversal of 485793871264800 is 8462178397584.

It is a happy number.

485793871264800 is a `hidden beast` number, since 4 + 8 + 5 + 79 + 3 + 8 + 71 + 2 + 6 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 58088465419 + ... + 58088473781.

It is a 1-persistent number, because it is pandigital, but 2⋅485793871264800 = 971587742529600 is not.

Almost surely, 2^{485793871264800} is an apocalyptic number.

485793871264800 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 485793871264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111153193644032).

485793871264800 is an abundant number, since it is smaller than the sum of its proper divisors (1736512516023264).

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

485793871264800 is an equidigital number, since it uses as much as digits as its factorization.

485793871264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 485793871264800 in words is "four hundred eighty-five trillion, seven hundred ninety-three billion, eight hundred seventy-one million, two hundred sixty-four thousand, eight hundred".