426585585624 has 128 divisors (see below), whose sum is σ = 1195700071680. Its totient is φ = 125686080000.

The previous prime is 426585585623. The next prime is 426585585781.

426585585624 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426585585623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14568999 + ... + 14598249.

It is an arithmetic number, because the mean of its divisors is an integer number (9341406810).

Almost surely, 2^426585585624 is an apocalyptic number.

426585585624 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 426585585624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597850035840).

426585585624 is an abundant number, since it is smaller than the sum of its proper divisors (769114486056).

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

426585585624 is a wasteful number, since it uses less digits than its factorization.

426585585624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30801 (or 30797 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 60.

The spelling of 426585585624 in words is "four hundred twenty-six billion, five hundred eighty-five million, five hundred eighty-five thousand, six hundred twenty-four".