16258509216 has 240 divisors, whose sum is σ = 50166902016. Its totient is φ = 5159407104.

The previous prime is 16258509203. The next prime is 16258509217. The reversal of 16258509216 is 61290585261.

16258509216 is a `hidden beast` number, since 1 + 62 + 585 + 0 + 9 + 2 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (16258509217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4505685 + ... + 4509291.

Almost surely, 2^16258509216 is an apocalyptic number.

16258509216 is a gapful number since it is divisible by the number (16) 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 16258509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25083451008).

16258509216 is an abundant number, since it is smaller than the sum of its proper divisors (33908392800).

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

16258509216 is a wasteful number, since it uses less digits than its factorization.

16258509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 16258509216 in words is "sixteen billion, two hundred fifty-eight million, five hundred nine thousand, two hundred sixteen".