485852992128 has 640 divisors, whose sum is σ = 1815162624000. Its totient is φ = 125783083008.

The previous prime is 485852992067. The next prime is 485852992129. The reversal of 485852992128 is 821299258584.

485852992128 is a `hidden beast` number, since 4 + 8 + 5 + 8 + 529 + 92 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (485852992129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31708053 + ... + 31723371.

It is an arithmetic number, because the mean of its divisors is an integer number (2836191600).

Almost surely, 2^485852992128 is an apocalyptic number.

485852992128 is a gapful number since it is divisible by the number (48) 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 485852992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907581312000).

485852992128 is an abundant number, since it is smaller than the sum of its proper divisors (1329309631872).

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

485852992128 is a wasteful number, since it uses less digits than its factorization.

485852992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15373 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 485852992128 in words is "four hundred eighty-five billion, eight hundred fifty-two million, nine hundred ninety-two thousand, one hundred twenty-eight".