16158984960 has 288 divisors, whose sum is σ = 52819183872. Its totient is φ = 4209131520.

The previous prime is 16158984953. The next prime is 16158984997. The reversal of 16158984960 is 6948985161.

It is a super-2 number, since 2×16158984960² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16158984960.

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 31 ways as a sum of consecutive naturals, for example, 46567507 + ... + 46567853.

It is an arithmetic number, because the mean of its divisors is an integer number (183399944).

Almost surely, 2^16158984960 is an apocalyptic number.

16158984960 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 16158984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26409591936).

16158984960 is an abundant number, since it is smaller than the sum of its proper divisors (36660198912).

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

16158984960 is a wasteful number, since it uses less digits than its factorization.

16158984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 16158984960 in words is "sixteen billion, one hundred fifty-eight million, nine hundred eighty-four thousand, nine hundred sixty".