10163881728 has 864 divisors, whose sum is σ = 40936250880. Its totient is φ = 2415329280.

The previous prime is 10163881711. The next prime is 10163881733. The reversal of 10163881728 is 82718836101.

It is a happy number.

10163881728 is a `hidden beast` number, since 1 + 0 + 1 + 638 + 8 + 1 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89945800 + ... + 89945912.

It is an arithmetic number, because the mean of its divisors is an integer number (47379920).

Almost surely, 2^10163881728 is an apocalyptic number.

10163881728 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 10163881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468125440).

10163881728 is an abundant number, since it is smaller than the sum of its proper divisors (30772369152).

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

10163881728 is a wasteful number, since it uses less digits than its factorization.

10163881728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10163881728 in words is "ten billion, one hundred sixty-three million, eight hundred eighty-one thousand, seven hundred twenty-eight".