20059966169100 has 432 divisors, whose sum is σ = 73958805604320. Its totient is φ = 4483504742400.

The previous prime is 20059966169053. The next prime is 20059966169231. The reversal of 20059966169100 is 196166995002.

20059966169100 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 9 + 9 + 6 + 616 + 9 + 10 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106598292 + ... + 106786308.

Almost surely, 2^{20059966169100} is an apocalyptic number.

20059966169100 is a gapful number since it is divisible by the number (20) 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 20059966169100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36979402802160).

20059966169100 is an abundant number, since it is smaller than the sum of its proper divisors (53898839435220).

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

20059966169100 is a wasteful number, since it uses less digits than its factorization.

20059966169100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188890 (or 188880 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 20059966169100 in words is "twenty trillion, fifty-nine billion, nine hundred sixty-six million, one hundred sixty-nine thousand, one hundred".