10681839616 has 104 divisors (see below), whose sum is σ = 25074944480. Its totient is φ = 4453761024.

The previous prime is 10681839589. The next prime is 10681839617. The reversal of 10681839616 is 61693818601.

It is a happy number.

It is a super-2 number, since 2×10681839616² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10681839616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681839617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055830 + ... + 1065898.

Almost surely, 2^10681839616 is an apocalyptic number.

10681839616 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 10681839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12537472240).

10681839616 is an abundant number, since it is smaller than the sum of its proper divisors (14393104864).

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

10681839616 is an equidigital number, since it uses as much as digits as its factorization.

10681839616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10137 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 10681839616 in words is "ten billion, six hundred eighty-one million, eight hundred thirty-nine thousand, six hundred sixteen".