15828910968 has 128 divisors (see below), whose sum is σ = 43340935680. Its totient is φ = 4788026880.

The previous prime is 15828910949. The next prime is 15828911057. The reversal of 15828910968 is 86901982851.

It is a Cunningham number, because it is equal to 125813²-1.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9812530 + ... + 9814142.

It is an arithmetic number, because the mean of its divisors is an integer number (338601060).

Almost surely, 2^15828910968 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 15828910968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670467840).

15828910968 is an abundant number, since it is smaller than the sum of its proper divisors (27512024712).

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

15828910968 is a wasteful number, since it uses less digits than its factorization.

15828910968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 57.

The spelling of 15828910968 in words is "fifteen billion, eight hundred twenty-eight million, nine hundred ten thousand, nine hundred sixty-eight".