20101728800 has 36 divisors (see below), whose sum is σ = 49073347386. Its totient is φ = 8040691200.

The previous prime is 20101728797. The next prime is 20101728821. The reversal of 20101728800 is 882710102.

It can be written as a sum of positive squares in 3 ways, for example, as 16747465744 + 3354263056 = 129412^2 + 57916^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12562781 + ... + 12564380.

Almost surely, 2^20101728800 is an apocalyptic number.

20101728800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101728800 is an abundant number, since it is smaller than the sum of its proper divisors (28971618586).

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

20101728800 is a wasteful number, since it uses less digits than its factorization.

20101728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127181 (or 25127168 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The spelling of 20101728800 in words is "twenty billion, one hundred one million, seven hundred twenty-eight thousand, eight hundred".