16286960160 has 288 divisors, whose sum is σ = 59007744432. Its totient is φ = 4076666880.

The previous prime is 16286960147. The next prime is 16286960257. The reversal of 16286960160 is 6106968261.

16286960160 is a `hidden beast` number, since 1 + 628 + 6 + 9 + 6 + 0 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8898526224 + 7388433936 = 94332^2 + 85956^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12753442 + ... + 12754718.

Almost surely, 2^16286960160 is an apocalyptic number.

16286960160 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 16286960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29503872216).

16286960160 is an abundant number, since it is smaller than the sum of its proper divisors (42720784272).

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

16286960160 is a wasteful number, since it uses less digits than its factorization.

16286960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16286960160 in words is "sixteen billion, two hundred eighty-six million, nine hundred sixty thousand, one hundred sixty".