10582254936 has 128 divisors (see below), whose sum is σ = 32813510400. Its totient is φ = 3132138240.

The previous prime is 10582254931. The next prime is 10582254961. The reversal of 10582254936 is 63945228501.

10582254936 is a `hidden beast` number, since 1 + 0 + 58 + 22 + 549 + 36 = 666.

It is a super-2 number, since 2×10582254936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10582254891 and 10582254900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582254931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50380 + ... + 153956.

It is an arithmetic number, because the mean of its divisors is an integer number (256355550).

Almost surely, 2^10582254936 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 10582254936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406755200).

10582254936 is an abundant number, since it is smaller than the sum of its proper divisors (22231255464).

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

10582254936 is a wasteful number, since it uses less digits than its factorization.

10582254936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103646 (or 103636 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10582254936 in words is "ten billion, five hundred eighty-two million, two hundred fifty-four thousand, nine hundred thirty-six".