10681478496 has 288 divisors, whose sum is σ = 34037508960. Its totient is φ = 3155853312.

The previous prime is 10681478477. The next prime is 10681478503. The reversal of 10681478496 is 69487418601.

10681478496 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 147 + 8 + 496 = 666.

10681478496 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 (288).

It is a super-2 number, since 2×10681478496² (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 47 ways as a sum of consecutive naturals, for example, 11497360 + ... + 11498288.

It is an arithmetic number, because the mean of its divisors is an integer number (118185795).

Almost surely, 2^10681478496 is an apocalyptic number.

10681478496 is a gapful number since it is divisible by the number (16) 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 10681478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018754480).

10681478496 is an abundant number, since it is smaller than the sum of its proper divisors (23356030464).

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

10681478496 is a wasteful number, since it uses less digits than its factorization.

10681478496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10681478496 in words is "ten billion, six hundred eighty-one million, four hundred seventy-eight thousand, four hundred ninety-six".