16880516825088 has 768 divisors, whose sum is σ = 56286281376000. Its totient is φ = 4390697041920.

The previous prime is 16880516825077. The next prime is 16880516825143. The reversal of 16880516825088 is 88052861508861.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 80002449303 + ... + 80002449513.

It is an arithmetic number, because the mean of its divisors is an integer number (73289428875).

Almost surely, 2^{16880516825088} 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 16880516825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28143140688000).

16880516825088 is an abundant number, since it is smaller than the sum of its proper divisors (39405764550912).

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

16880516825088 is an frugal number, since it uses more digits than its factorization.

16880516825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 66.

The spelling of 16880516825088 in words is "sixteen trillion, eight hundred eighty billion, five hundred sixteen million, eight hundred twenty-five thousand, eighty-eight".