16530957325584 has 405 divisors, whose sum is σ = 50986151894223. Its totient is φ = 4997650724352.

The previous prime is 16530957325579. The next prime is 16530957325661. The reversal of 16530957325584 is 48552375903561.

The square root of 16530957325584 is 4065828.

It is a perfect power (a square), and thus also a powerful number.

16530957325584 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 0 + 9 + 5 + 73 + 2 + 558 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6353121891600 + 10177835433984 = 2520540^2 + 3190272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42496034062 + ... + 42496034450.

It is a 1-persistent number, because it is pandigital, but 2⋅16530957325584 = 33061914651168 is not.

Almost surely, 2^{16530957325584} is an apocalyptic number.

16530957325584 is the 4065828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16530957325584

16530957325584 is an abundant number, since it is smaller than the sum of its proper divisors (34455194568639).

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

16530957325584 is an equidigital number, since it uses as much as digits as its factorization.

16530957325584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 16530957325584 in words is "sixteen trillion, five hundred thirty billion, nine hundred fifty-seven million, three hundred twenty-five thousand, five hundred eighty-four".