20468044800 has 990 divisors, whose sum is σ = 87805070158. Its totient is φ = 4551966720.

The previous prime is 20468044783. The next prime is 20468044813. The reversal of 20468044800 is 844086402.

20468044800 is a `hidden beast` number, since 204 + 6 + 8 + 0 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4337012736 + 16131032064 = 65856^2 + 127008^2 .

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 553190382 + ... + 553190418.

Almost surely, 2^20468044800 is an apocalyptic number.

20468044800 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 20468044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43902535079).

20468044800 is an abundant number, since it is smaller than the sum of its proper divisors (67337025358).

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

20468044800 is an equidigital number, since it uses as much as digits as its factorization.

20468044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20468044800 in words is "twenty billion, four hundred sixty-eight million, forty-four thousand, eight hundred".