16679789292096 has 252 divisors, whose sum is σ = 55969506227388. Its totient is φ = 4735298340864.

The previous prime is 16679789292077. The next prime is 16679789292149. The reversal of 16679789292096 is 69029298797661.

16679789292096 is a `hidden beast` number, since 166 + 7 + 9 + 7 + 89 + 292 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6542340840000 + 10137448452096 = 2557800^2 + 3183936^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2549070 + ... + 6313266.

Almost surely, 2^{16679789292096} is an apocalyptic number.

16679789292096 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 16679789292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27984753113694).

16679789292096 is an abundant number, since it is smaller than the sum of its proper divisors (39289716935292).

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

16679789292096 is a wasteful number, since it uses less digits than its factorization.

16679789292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764386 (or 3764366 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 16679789292096 in words is "sixteen trillion, six hundred seventy-nine billion, seven hundred eighty-nine million, two hundred ninety-two thousand, ninety-six".