99689853168 has 200 divisors, whose sum is σ = 293865343200. Its totient is φ = 32617935360.

The previous prime is 99689853127. The next prime is 99689853253. The reversal of 99689853168 is 86135898699.

99689853168 is a `hidden beast` number, since 9 + 9 + 6 + 89 + 8 + 531 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 315737²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99689853096 and 99689853105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51148258 + ... + 51150206.

It is an arithmetic number, because the mean of its divisors is an integer number (1469326716).

Almost surely, 2^99689853168 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 99689853168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146932671600).

99689853168 is an abundant number, since it is smaller than the sum of its proper divisors (194175490032).

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

99689853168 is a wasteful number, since it uses less digits than its factorization.

99689853168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2662 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 99689853168 in words is "ninety-nine billion, six hundred eighty-nine million, eight hundred fifty-three thousand, one hundred sixty-eight".