16888085760 has 576 divisors, whose sum is σ = 68568514560. Its totient is φ = 3446046720.

The previous prime is 16888085759. The next prime is 16888085801. The reversal of 16888085760 is 6758088861.

It is a super-2 number, since 2×16888085760² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16888085760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10831861 + ... + 10833419.

It is an arithmetic number, because the mean of its divisors is an integer number (119042560).

Almost surely, 2^16888085760 is an apocalyptic number.

16888085760 is a gapful number since it is divisible by the number (10) 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 16888085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34284257280).

16888085760 is an abundant number, since it is smaller than the sum of its proper divisors (51680428800).

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

16888085760 is a wasteful number, since it uses less digits than its factorization.

16888085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 16888085760 in words is "sixteen billion, eight hundred eighty-eight million, eighty-five thousand, seven hundred sixty".