16532656128 has 624 divisors, whose sum is σ = 55936797696. Its totient is φ = 4671406080.

The previous prime is 16532656123. The next prime is 16532656171. The reversal of 16532656128 is 82165623561.

16532656128 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 26 + 5 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16532656123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 446828526 + ... + 446828562.

It is an arithmetic number, because the mean of its divisors is an integer number (89642304).

Almost surely, 2^16532656128 is an apocalyptic number.

16532656128 is a gapful number since it is divisible by the number (18) 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 16532656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27968398848).

16532656128 is an abundant number, since it is smaller than the sum of its proper divisors (39404141568).

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

16532656128 is a wasteful number, since it uses less digits than its factorization.

16532656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 16532656128 in words is "sixteen billion, five hundred thirty-two million, six hundred fifty-six thousand, one hundred twenty-eight".