10680688000 has 128 divisors (see below), whose sum is σ = 26816811840. Its totient is φ = 4230144000.

The previous prime is 10680687989. The next prime is 10680688033. The reversal of 10680688000 is 88608601.

10680688000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10680688000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644760 + ... + 1651240.

Almost surely, 2^10680688000 is an apocalyptic number.

10680688000 is a gapful number since it is divisible by the number (10) 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 10680688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408405920).

10680688000 is an abundant number, since it is smaller than the sum of its proper divisors (16136123840).

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

10680688000 is an equidigital number, since it uses as much as digits as its factorization.

10680688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 10680688000 in words is "ten billion, six hundred eighty million, six hundred eighty-eight thousand".