16517048052960 has 1536 divisors, whose sum is σ = 73468742860800. Its totient is φ = 3372728647680.

The previous prime is 16517048052931. The next prime is 16517048052971. The reversal of 16517048052960 is 6925084071561.

It is a happy number.

16517048052960 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 70 + 48 + 0 + 529 + 6 + 0 = 666.

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 = 16517048052897 and 16517048052906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2046971806 + ... + 2046979874.

It is an arithmetic number, because the mean of its divisors is an integer number (47831212800).

Almost surely, 2^{16517048052960} is an apocalyptic number.

16517048052960 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 16517048052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36734371430400).

16517048052960 is an abundant number, since it is smaller than the sum of its proper divisors (56951694807840).

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

16517048052960 is a wasteful number, since it uses less digits than its factorization.

16517048052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 16517048052960 in words is "sixteen trillion, five hundred seventeen billion, forty-eight million, fifty-two thousand, nine hundred sixty".