10582821438 has 64 divisors (see below), whose sum is σ = 25476464640. Its totient is φ = 2862944352.

The previous prime is 10582821407. The next prime is 10582821439. The reversal of 10582821438 is 83412828501.

10582821438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10582821438² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10582821438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582821439) 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 31 ways as a sum of consecutive naturals, for example, 2665731 + ... + 2669697.

It is an arithmetic number, because the mean of its divisors is an integer number (398069760).

Almost surely, 2^10582821438 is an apocalyptic number.

10582821438 is an abundant number, since it is smaller than the sum of its proper divisors (14893643202).

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

10582821438 is a wasteful number, since it uses less digits than its factorization.

10582821438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341.

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 10582821438 in words is "ten billion, five hundred eighty-two million, eight hundred twenty-one thousand, four hundred thirty-eight".