16531540061568 has 1024 divisors, whose sum is σ = 54688972800000. Its totient is φ = 4320671072256.

The previous prime is 16531540061557. The next prime is 16531540061623. The reversal of 16531540061568 is 86516004513561.

It is a self number, because there is not a number n which added to its sum of digits gives 16531540061568.

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 127 ways as a sum of consecutive naturals, for example, 47368309458 + ... + 47368309806.

It is an arithmetic number, because the mean of its divisors is an integer number (53407200000).

Almost surely, 2^{16531540061568} 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 16531540061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27344486400000).

16531540061568 is an abundant number, since it is smaller than the sum of its proper divisors (38157432738432).

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

16531540061568 is a wasteful number, since it uses less digits than its factorization.

16531540061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 16531540061568 in words is "sixteen trillion, five hundred thirty-one billion, five hundred forty million, sixty-one thousand, five hundred sixty-eight".