10582685720 has 16 divisors (see below), whose sum is σ = 23811042960. Its totient is φ = 4233074272.

The previous prime is 10582685717. The next prime is 10582685761. The reversal of 10582685720 is 2758628501.

10582685720 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 2×10582685720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 132283532 + ... + 132283611.

It is an arithmetic number, because the mean of its divisors is an integer number (1488190185).

Almost surely, 2^10582685720 is an apocalyptic number.

10582685720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10582685720 is an abundant number, since it is smaller than the sum of its proper divisors (13228357240).

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

10582685720 is a wasteful number, since it uses less digits than its factorization.

10582685720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264567154 (or 264567150 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 10582685720 in words is "ten billion, five hundred eighty-two million, six hundred eighty-five thousand, seven hundred twenty".