16481788960 has 576 divisors, whose sum is σ = 52124083200. Its totient is φ = 4870914048.

The previous prime is 16481788943. The next prime is 16481789053. The reversal of 16481788960 is 6988718461.

It is a junction number, because it is equal to n+sod(n) for n = 16481788895 and 16481788904.

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 95 ways as a sum of consecutive naturals, for example, 185188596 + ... + 185188684.

It is an arithmetic number, because the mean of its divisors is an integer number (90493200).

Almost surely, 2^16481788960 is an apocalyptic number.

16481788960 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 16481788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26062041600).

16481788960 is an abundant number, since it is smaller than the sum of its proper divisors (35642294240).

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

16481788960 is a wasteful number, since it uses less digits than its factorization.

16481788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 16481788960 in words is "sixteen billion, four hundred eighty-one million, seven hundred eighty-eight thousand, nine hundred sixty".