20109828096000 has 2176 divisors, whose sum is σ = 80087107276800. Its totient is φ = 4967261798400.

The previous prime is 20109828095993. The next prime is 20109828096013. The reversal of 20109828096000 is 69082890102.

20109828096000 is a `hidden beast` number, since 2 + 0 + 10 + 9 + 8 + 28 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300146687967 + ... + 300146688033.

It is an arithmetic number, because the mean of its divisors is an integer number (36804736800).

Almost surely, 2^{20109828096000} is an apocalyptic number.

20109828096000 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 20109828096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40043553638400).

20109828096000 is an abundant number, since it is smaller than the sum of its proper divisors (59977279180800).

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

20109828096000 is an frugal number, since it uses more digits than its factorization.

20109828096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 20109828096000 in words is "twenty trillion, one hundred nine billion, eight hundred twenty-eight million, ninety-six thousand".