16195106304 has 960 divisors, whose sum is σ = 60056156160. Its totient is φ = 4299816960.

The previous prime is 16195106261. The next prime is 16195106309. The reversal of 16195106304 is 40360159161.

16195106304 = 9³ + 10³ + ... + 504³.

16195106304 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 5 + 10 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16195106309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522422769 + ... + 522422799.

It is an arithmetic number, because the mean of its divisors is an integer number (62558496).

Almost surely, 2^16195106304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16195106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028078080).

16195106304 is an abundant number, since it is smaller than the sum of its proper divisors (43861049856).

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

16195106304 is a wasteful number, since it uses less digits than its factorization.

16195106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 16195106304 in words is "sixteen billion, one hundred ninety-five million, one hundred six thousand, three hundred four".