10689510816 has 96 divisors (see below), whose sum is σ = 31938278400. Its totient is φ = 3476252160.

The previous prime is 10689510803. The next prime is 10689510817. The reversal of 10689510816 is 61801598601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10689510816² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10689510817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115456 + ... + 186303.

It is an arithmetic number, because the mean of its divisors is an integer number (332690400).

Almost surely, 2^10689510816 is an apocalyptic number.

10689510816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10689510816 is an abundant number, since it is smaller than the sum of its proper divisors (21248767584).

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

10689510816 is a wasteful number, since it uses less digits than its factorization.

10689510816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301819 (or 301805 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

It can be divided in two parts, 106895 and 10816, that added together give a palindrome (117711).

The spelling of 10689510816 in words is "ten billion, six hundred eighty-nine million, five hundred ten thousand, eight hundred sixteen".