10582623232 has 44 divisors (see below), whose sum is σ = 21231852460. Its totient is φ = 5272068096.

The previous prime is 10582623221. The next prime is 10582623241. The reversal of 10582623232 is 23232628501.

It can be written as a sum of positive squares in 2 ways, for example, as 3380724736 + 7201898496 = 58144^2 + 84864^2 .

It is a super-2 number, since 2×10582623232² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264994 + ... + 302302.

Almost surely, 2^10582623232 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 10582623232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615926230).

10582623232 is an abundant number, since it is smaller than the sum of its proper divisors (10649229228).

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

10582623232 is an equidigital number, since it uses as much as digits as its factorization.

10582623232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37606 (or 37588 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 10582623232 in words is "ten billion, five hundred eighty-two million, six hundred twenty-three thousand, two hundred thirty-two".