10582239136 has 72 divisors (see below), whose sum is σ = 24254246016. Its totient is φ = 4531685760.

The previous prime is 10582239121. The next prime is 10582239137. The reversal of 10582239136 is 63193228501.

It is a super-2 number, since 2×10582239136² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10582239137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3339825 + ... + 3342991.

It is an arithmetic number, because the mean of its divisors is an integer number (336864528).

Almost surely, 2^10582239136 is an apocalyptic number.

10582239136 is a gapful number since it is divisible by the number (16) 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 10582239136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127123008).

10582239136 is an abundant number, since it is smaller than the sum of its proper divisors (13672006880).

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

10582239136 is a wasteful number, since it uses less digits than its factorization.

10582239136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10582239136 in words is "ten billion, five hundred eighty-two million, two hundred thirty-nine thousand, one hundred thirty-six".