20909096683200 has 1008 divisors, whose sum is σ = 87323957635200. Its totient is φ = 4690383667200.

The previous prime is 20909096683199. The next prime is 20909096683231. The reversal of 20909096683200 is 238669090902.

20909096683200 is a `hidden beast` number, since 2 + 0 + 90 + 90 + 96 + 68 + 320 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129332016 + ... + 129493584.

Almost surely, 2^{20909096683200} is an apocalyptic number.

20909096683200 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 20909096683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43661978817600).

20909096683200 is an abundant number, since it is smaller than the sum of its proper divisors (66414860952000).

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

20909096683200 is a wasteful number, since it uses less digits than its factorization.

20909096683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161670 (or 161652 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 20909096683200 in words is "twenty trillion, nine hundred nine billion, ninety-six million, six hundred eighty-three thousand, two hundred".