20009383603200 has 3168 divisors, whose sum is σ = 83257533399040. Its totient is φ = 4740548198400.

The previous prime is 20009383603091. The next prime is 20009383603207. The reversal of 20009383603200 is 230638390002.

20009383603200 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 93 + 8 + 360 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20009383603207) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 157554201537 + ... + 157554201663.

Almost surely, 2^{20009383603200} is an apocalyptic number.

20009383603200 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 20009383603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41628766699520).

20009383603200 is an abundant number, since it is smaller than the sum of its proper divisors (63248149795840).

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

20009383603200 is a wasteful number, since it uses less digits than its factorization.

20009383603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20009383603200 in words is "twenty trillion, nine billion, three hundred eighty-three million, six hundred three thousand, two hundred".