20328198800 has 810 divisors, whose sum is σ = 68745901878. Its totient is φ = 5736407040.

The previous prime is 20328198799. The next prime is 20328198809. The reversal of 20328198800 is 889182302.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 10003200256 + 10324998544 = 100016^2 + 101612^2 .

It is not an unprimeable number, because it can be changed into a prime (20328198809) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1069905191 + ... + 1069905209.

Almost surely, 2^20328198800 is an apocalyptic number.

20328198800 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 20328198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372950939).

20328198800 is an abundant number, since it is smaller than the sum of its proper divisors (48417703078).

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

20328198800 is a wasteful number, since it uses less digits than its factorization.

20328198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 20328198800 in words is "twenty billion, three hundred twenty-eight million, one hundred ninety-eight thousand, eight hundred".