10540676328 has 256 divisors, whose sum is σ = 35273387520. Its totient is φ = 2545385472.

The previous prime is 10540676299. The next prime is 10540676351. The reversal of 10540676328 is 82367604501.

10540676328 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 2×10540676328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10540676328.

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 63 ways as a sum of consecutive naturals, for example, 1369900 + ... + 1377572.

It is an arithmetic number, because the mean of its divisors is an integer number (137786670).

Almost surely, 2^10540676328 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 10540676328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17636693760).

10540676328 is an abundant number, since it is smaller than the sum of its proper divisors (24732711192).

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

10540676328 is a wasteful number, since it uses less digits than its factorization.

10540676328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10540676328 in words is "ten billion, five hundred forty million, six hundred seventy-six thousand, three hundred twenty-eight".