16530884864 has 288 divisors, whose sum is σ = 39636021600. Its totient is φ = 6808928256.

The previous prime is 16530884809. The next prime is 16530884873. The reversal of 16530884864 is 46848803561.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1600000000 + 14930884864 = 40000^2 + 122192^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 110945462 + ... + 110945610.

It is an arithmetic number, because the mean of its divisors is an integer number (137625075).

Almost surely, 2^16530884864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16530884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818010800).

16530884864 is an abundant number, since it is smaller than the sum of its proper divisors (23105136736).

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

16530884864 is a wasteful number, since it uses less digits than its factorization.

16530884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 16530884864 in words is "sixteen billion, five hundred thirty million, eight hundred eighty-four thousand, eight hundred sixty-four".