10688848352 has 96 divisors (see below), whose sum is σ = 26388960192. Its totient is φ = 4148711424.

The previous prime is 10688848321. The next prime is 10688848363. The reversal of 10688848352 is 25384888601.

10688848352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10688848352² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 10688848294 and 10688848303.

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, 119708 + ... + 188964.

It is an arithmetic number, because the mean of its divisors is an integer number (274885002).

Almost surely, 2^10688848352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10688848352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194480096).

10688848352 is an abundant number, since it is smaller than the sum of its proper divisors (15700111840).

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

10688848352 is a wasteful number, since it uses less digits than its factorization.

10688848352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69340 (or 69332 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 53.

The spelling of 10688848352 in words is "ten billion, six hundred eighty-eight million, eight hundred forty-eight thousand, three hundred fifty-two".