16886136960 has 1280 divisors, whose sum is σ = 78168067200. Its totient is φ = 3413975040.

The previous prime is 16886136913. The next prime is 16886136961. The reversal of 16886136960 is 6963168861.

16886136960 is a `hidden beast` number, since 16 + 8 + 8 + 613 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16886136897 and 16886136906.

It is not an unprimeable number, because it can be changed into a prime (16886136961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 456382062 + ... + 456382098.

Almost surely, 2^16886136960 is an apocalyptic number.

16886136960 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 16886136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39084033600).

16886136960 is an abundant number, since it is smaller than the sum of its proper divisors (61281930240).

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

16886136960 is an equidigital number, since it uses as much as digits as its factorization.

16886136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16886136960 in words is "sixteen billion, eight hundred eighty-six million, one hundred thirty-six thousand, nine hundred sixty".