123585263256 has 256 divisors, whose sum is σ = 408648360960. Its totient is φ = 30218158080.

The previous prime is 123585263231. The next prime is 123585263257. The reversal of 123585263256 is 652362585321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123585263257) 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 63 ways as a sum of consecutive naturals, for example, 2462736 + ... + 2512416.

It is an arithmetic number, because the mean of its divisors is an integer number (1596282660).

Almost surely, 2^123585263256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123585263256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204324180480).

123585263256 is an abundant number, since it is smaller than the sum of its proper divisors (285063097704).

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

123585263256 is a wasteful number, since it uses less digits than its factorization.

123585263256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49794 (or 49790 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The spelling of 123585263256 in words is "one hundred twenty-three billion, five hundred eighty-five million, two hundred sixty-three thousand, two hundred fifty-six".