16789638096 has 320 divisors, whose sum is σ = 60938956800. Its totient is φ = 4298918400.

The previous prime is 16789638043. The next prime is 16789638133. The reversal of 16789638096 is 69083698761.

16789638096 is a `hidden beast` number, since 16 + 78 + 96 + 380 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2358190 + ... + 2365298.

It is an arithmetic number, because the mean of its divisors is an integer number (190434240).

Almost surely, 2^16789638096 is an apocalyptic number.

16789638096 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 16789638096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30469478400).

16789638096 is an abundant number, since it is smaller than the sum of its proper divisors (44149318704).

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

16789638096 is a wasteful number, since it uses less digits than its factorization.

16789638096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7215 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 16789638096 in words is "sixteen billion, seven hundred eighty-nine million, six hundred thirty-eight thousand, ninety-six".