16521753648 has 80 divisors (see below), whose sum is σ = 42968678400. Its totient is φ = 5470248960.

The previous prime is 16521753623. The next prime is 16521753649. The reversal of 16521753648 is 84635712561.

16521753648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 16521753597 and 16521753606.

It is not an unprimeable number, because it can be changed into a prime (16521753649) by changing a digit.

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, 11725168 + ... + 11726576.

It is an arithmetic number, because the mean of its divisors is an integer number (537108480).

Almost surely, 2^16521753648 is an apocalyptic number.

It is an amenable number.

16521753648 is an abundant number, since it is smaller than the sum of its proper divisors (26446924752).

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

16521753648 is a wasteful number, since it uses less digits than its factorization.

16521753648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 16521753648 in words is "sixteen billion, five hundred twenty-one million, seven hundred fifty-three thousand, six hundred forty-eight".