20004212800 has 672 divisors, whose sum is σ = 63337196160. Its totient is φ = 6104678400.

The previous prime is 20004212791. The next prime is 20004212801. The reversal of 20004212800 is 821240002.

It is not an unprimeable number, because it can be changed into a prime (20004212801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143915131 + ... + 143915269.

It is an arithmetic number, because the mean of its divisors is an integer number (94251780).

Almost surely, 2^20004212800 is an apocalyptic number.

20004212800 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 20004212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31668598080).

20004212800 is an abundant number, since it is smaller than the sum of its proper divisors (43332983360).

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

20004212800 is a wasteful number, since it uses less digits than its factorization.

20004212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20004212800 its reverse (821240002), we get a palindrome (20825452802).

The spelling of 20004212800 in words is "twenty billion, four million, two hundred twelve thousand, eight hundred".