10689159168 has 280 divisors, whose sum is σ = 32470778340. Its totient is φ = 3503554560.

The previous prime is 10689159161. The next prime is 10689159181. The reversal of 10689159168 is 86195198601.

It can be written as a sum of positive squares in 2 ways, for example, as 8177946624 + 2511212544 = 90432^2 + 50112^2 .

It is a super-2 number, since 2×10689159168² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10689159161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59056038 + ... + 59056218.

Almost surely, 2^10689159168 is an apocalyptic number.

10689159168 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 10689159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235389170).

10689159168 is an abundant number, since it is smaller than the sum of its proper divisors (21781619172).

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

10689159168 is an frugal number, since it uses more digits than its factorization.

10689159168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 10689159168 in words is "ten billion, six hundred eighty-nine million, one hundred fifty-nine thousand, one hundred sixty-eight".