485700007584 has 384 divisors, whose sum is σ = 1453889606400. Its totient is φ = 140677447680.

The previous prime is 485700007579. The next prime is 485700007589.

485700007584 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (485700007579) and next prime (485700007589).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (485700007589) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685049022 + ... + 685049730.

It is an arithmetic number, because the mean of its divisors is an integer number (3786170850).

Almost surely, 2^485700007584 is an apocalyptic number.

485700007584 is a gapful number since it is divisible by the number (44) 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 485700007584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726944803200).

485700007584 is an abundant number, since it is smaller than the sum of its proper divisors (968189598816).

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

485700007584 is a wasteful number, since it uses less digits than its factorization.

485700007584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

It can be divided in two parts, 48570000 and 7584, that added together give a palindrome (48577584).

The spelling of 485700007584 in words is "four hundred eighty-five billion, seven hundred million, seven thousand, five hundred eighty-four".