16565642624 has 128 divisors (see below), whose sum is σ = 35394408000. Its totient is φ = 7708180480.

The previous prime is 16565642593. The next prime is 16565642633. The reversal of 16565642624 is 42624656561.

16565642624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13544477 + ... + 13545699.

Almost surely, 2^16565642624 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 16565642624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697204000).

16565642624 is an abundant number, since it is smaller than the sum of its proper divisors (18828765376).

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

16565642624 is a wasteful number, since it uses less digits than its factorization.

16565642624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1384 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The spelling of 16565642624 in words is "sixteen billion, five hundred sixty-five million, six hundred forty-two thousand, six hundred twenty-four".