20006008819200 has 2520 divisors, whose sum is σ = 80955070512624. Its totient is φ = 4887458611200.

The previous prime is 20006008819081. The next prime is 20006008819211. The reversal of 20006008819200 is 291880060002.

20006008819200 is a `hidden beast` number, since 20 + 0 + 0 + 600 + 8 + 8 + 1 + 9 + 20 + 0 = 666.

It is a super-3 number, since 3×20006008819200³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

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 251 ways as a sum of consecutive naturals, for example, 206247513552 + ... + 206247513648.

Almost surely, 2^{20006008819200} is an apocalyptic number.

20006008819200 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 20006008819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477535256312).

20006008819200 is an abundant number, since it is smaller than the sum of its proper divisors (60949061693424).

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

20006008819200 is an frugal number, since it uses more digits than its factorization.

20006008819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 20006008819200 its reverse (291880060002), we get a palindrome (20297888879202).

The spelling of 20006008819200 in words is "twenty trillion, six billion, eight million, eight hundred nineteen thousand, two hundred".