15972828960 has 192 divisors, whose sum is σ = 56372609664. Its totient is φ = 3767500800.

The previous prime is 15972828953. The next prime is 15972828961. The reversal of 15972828960 is 6982827951.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 15972828960.

It is not an unprimeable number, because it can be changed into a prime (15972828961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 154480 + ... + 236240.

It is an arithmetic number, because the mean of its divisors is an integer number (293607342).

Almost surely, 2^15972828960 is an apocalyptic number.

15972828960 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 15972828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28186304832).

15972828960 is an abundant number, since it is smaller than the sum of its proper divisors (40399780704).

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

15972828960 is a wasteful number, since it uses less digits than its factorization.

15972828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81827 (or 81819 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 15972828960 in words is "fifteen billion, nine hundred seventy-two million, eight hundred twenty-eight thousand, nine hundred sixty".