15882168960 has 512 divisors, whose sum is σ = 65118758400. Its totient is φ = 3627970560.

The previous prime is 15882168949. The next prime is 15882169013. The reversal of 15882168960 is 6986128851.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 15882168897 and 15882168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9796950 + ... + 9798570.

It is an arithmetic number, because the mean of its divisors is an integer number (127185075).

Almost surely, 2^15882168960 is an apocalyptic number.

15882168960 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 15882168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32559379200).

15882168960 is an abundant number, since it is smaller than the sum of its proper divisors (49236589440).

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

15882168960 is an frugal number, since it uses more digits than its factorization.

15882168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 15882168960 in words is "fifteen billion, eight hundred eighty-two million, one hundred sixty-eight thousand, nine hundred sixty".