10689642016 has 48 divisors (see below), whose sum is σ = 21620540088. Its totient is φ = 5199462400.

The previous prime is 10689642011. The next prime is 10689642023. The reversal of 10689642016 is 61024698601.

It can be written as a sum of positive squares in 4 ways, for example, as 5956752400 + 4732889616 = 77180^2 + 68796^2 .

It is a super-2 number, since 2×10689642016² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10689642011) 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, 451596 + ... + 474676.

Almost surely, 2^10689642016 is an apocalyptic number.

10689642016 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 10689642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810270044).

10689642016 is an abundant number, since it is smaller than the sum of its proper divisors (10930898072).

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

10689642016 is a wasteful number, since it uses less digits than its factorization.

10689642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23485 (or 23477 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10689642016 in words is "ten billion, six hundred eighty-nine million, six hundred forty-two thousand, sixteen".