16699138560 has 480 divisors, whose sum is σ = 62915973120. Its totient is φ = 4068900864.

The previous prime is 16699138543. The next prime is 16699138613. The reversal of 16699138560 is 6583199661.

16699138560 is a `hidden beast` number, since 1 + 6 + 69 + 9 + 13 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16699138560² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16699138497 and 16699138506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38038821 + ... + 38039259.

It is an arithmetic number, because the mean of its divisors is an integer number (131074944).

Almost surely, 2^16699138560 is an apocalyptic number.

16699138560 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 16699138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457986560).

16699138560 is an abundant number, since it is smaller than the sum of its proper divisors (46216834560).

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

16699138560 is a wasteful number, since it uses less digits than its factorization.

16699138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 16699138560 in words is "sixteen billion, six hundred ninety-nine million, one hundred thirty-eight thousand, five hundred sixty".