485629618320 has 1280 divisors, whose sum is σ = 2143577088000. Its totient is φ = 98957168640.

The previous prime is 485629618217. The next prime is 485629618321. The reversal of 485629618320 is 23816926584.

485629618320 is a `hidden beast` number, since 4 + 8 + 5 + 629 + 6 + 1 + 8 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×485629618320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (485629618321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1187358276 + ... + 1187358684.

It is an arithmetic number, because the mean of its divisors is an integer number (1674669600).

Almost surely, 2^485629618320 is an apocalyptic number.

485629618320 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 485629618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071788544000).

485629618320 is an abundant number, since it is smaller than the sum of its proper divisors (1657947469680).

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

485629618320 is a wasteful number, since it uses less digits than its factorization.

485629618320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 485629618320 in words is "four hundred eighty-five billion, six hundred twenty-nine million, six hundred eighteen thousand, three hundred twenty".