20104134324400 has 180 divisors, whose sum is σ = 56190375873720. Its totient is φ = 6892300262400.

The previous prime is 20104134324377. The next prime is 20104134324401. The reversal of 20104134324400 is 442343140102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20104134324401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306530811 + ... + 306596389.

It is an arithmetic number, because the mean of its divisors is an integer number (312168754854).

Almost surely, 2^{20104134324400} is an apocalyptic number.

20104134324400 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 20104134324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28095187936860).

20104134324400 is an abundant number, since it is smaller than the sum of its proper divisors (36086241549320).

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

20104134324400 is a wasteful number, since it uses less digits than its factorization.

20104134324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81252 (or 81234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20104134324400 its reverse (442343140102), we get a palindrome (20546477464502).

The spelling of 20104134324400 in words is "twenty trillion, one hundred four billion, one hundred thirty-four million, three hundred twenty-four thousand, four hundred".