10685809728 has 168 divisors, whose sum is σ = 33575951136. Its totient is φ = 3222374400.

The previous prime is 10685809727. The next prime is 10685809747. The reversal of 10685809728 is 82790858601.

It is a super-2 number, since 2×10685809728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10685809723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332900 + ... + 1340892.

It is an arithmetic number, because the mean of its divisors is an integer number (199856852).

Almost surely, 2^10685809728 is an apocalyptic number.

10685809728 is a gapful number since it is divisible by the number (18) 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 10685809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787975568).

10685809728 is an abundant number, since it is smaller than the sum of its proper divisors (22890141408).

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

10685809728 is a wasteful number, since it uses less digits than its factorization.

10685809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8233 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10685809728 in words is "ten billion, six hundred eighty-five million, eight hundred nine thousand, seven hundred twenty-eight".