16759419168 has 96 divisors (see below), whose sum is σ = 45584078400. Its totient is φ = 5388071936.

The previous prime is 16759419097. The next prime is 16759419169. The reversal of 16759419168 is 86191495761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (16759419169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272278 + ... + 328106.

It is an arithmetic number, because the mean of its divisors is an integer number (474834150).

Almost surely, 2^16759419168 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 16759419168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22792039200).

16759419168 is an abundant number, since it is smaller than the sum of its proper divisors (28824659232).

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

16759419168 is a wasteful number, since it uses less digits than its factorization.

16759419168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55954 (or 55946 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The spelling of 16759419168 in words is "sixteen billion, seven hundred fifty-nine million, four hundred nineteen thousand, one hundred sixty-eight".