15968275680 has 192 divisors, whose sum is σ = 57561960960. Its totient is φ = 3645057024.

The previous prime is 15968275669. The next prime is 15968275681. The reversal of 15968275680 is 8657286951.

15968275680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15968275680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15968275681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2944011 + ... + 2949429.

It is an arithmetic number, because the mean of its divisors is an integer number (299801880).

Almost surely, 2^15968275680 is an apocalyptic number.

15968275680 is a gapful number since it is divisible by the number (10) 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 15968275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28780980480).

15968275680 is an abundant number, since it is smaller than the sum of its proper divisors (41593685280).

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

15968275680 is a wasteful number, since it uses less digits than its factorization.

15968275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 15968275680 in words is "fifteen billion, nine hundred sixty-eight million, two hundred seventy-five thousand, six hundred eighty".