16865314560 has 360 divisors, whose sum is σ = 61648969536. Its totient is φ = 4400455680.

The previous prime is 16865314517. The next prime is 16865314561. The reversal of 16865314560 is 6541356861.

16865314560 is a `hidden beast` number, since 1 + 6 + 86 + 5 + 3 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16865314561) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4871230 + ... + 4874690.

Almost surely, 2^16865314560 is an apocalyptic number.

16865314560 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 16865314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30824484768).

16865314560 is an abundant number, since it is smaller than the sum of its proper divisors (44783654976).

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

16865314560 is an equidigital number, since it uses as much as digits as its factorization.

16865314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 16865314560 in words is "sixteen billion, eight hundred sixty-five million, three hundred fourteen thousand, five hundred sixty".