16688505600 has 1728 divisors, whose sum is σ = 76645094400. Its totient is φ = 3503554560.

The previous prime is 16688505527. The next prime is 16688505607. The reversal of 16688505600 is 650588661.

16688505600 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 85 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×16688505600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16688505607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 725587189 + ... + 725587211.

It is an arithmetic number, because the mean of its divisors is an integer number (44354800).

Almost surely, 2^16688505600 is an apocalyptic number.

16688505600 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 16688505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38322547200).

16688505600 is an abundant number, since it is smaller than the sum of its proper divisors (59956588800).

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

16688505600 is a wasteful number, since it uses less digits than its factorization.

16688505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 16688505600 in words is "sixteen billion, six hundred eighty-eight million, five hundred five thousand, six hundred".