10682809488 has 120 divisors (see below), whose sum is σ = 32638270392. Its totient is φ = 3241949184.

The previous prime is 10682809483. The next prime is 10682809513. The reversal of 10682809488 is 88490828601.

10682809488 is a `hidden beast` number, since 1 + 0 + 6 + 82 + 80 + 9 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2345658624 + 8337150864 = 48432^2 + 91308^2 .

It is a super-2 number, since 2×10682809488² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10682809483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97570 + ... + 175742.

Almost surely, 2^10682809488 is an apocalyptic number.

10682809488 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 10682809488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319135196).

10682809488 is an abundant number, since it is smaller than the sum of its proper divisors (21955460904).

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

10682809488 is a wasteful number, since it uses less digits than its factorization.

10682809488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78273 (or 78264 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10682809488 in words is "ten billion, six hundred eighty-two million, eight hundred nine thousand, four hundred eighty-eight".