20113304400 has 1080 divisors, whose sum is σ = 87092800704. Its totient is φ = 4441651200.

The previous prime is 20113304389. The next prime is 20113304413. The reversal of 20113304400 is 440331102.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 195274749 + ... + 195274851.

Almost surely, 2^20113304400 is an apocalyptic number.

20113304400 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 20113304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43546400352).

20113304400 is an abundant number, since it is smaller than the sum of its proper divisors (66979496304).

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

20113304400 is a wasteful number, since it uses less digits than its factorization.

20113304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20113304400 its reverse (440331102), we get a palindrome (20553635502).

The spelling of 20113304400 in words is "twenty billion, one hundred thirteen million, three hundred four thousand, four hundred".