20687068900 has 81 divisors (see below), whose sum is σ = 47440641339. Its totient is φ = 7828954560.

The previous prime is 20687068867. The next prime is 20687068901. The reversal of 20687068900 is 986078602.

The square root of 20687068900 is 143830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10929636 + 20676139264 = 3306^2 + 143792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20687068901) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 27327322 + ... + 27328078.

Almost surely, 2^20687068900 is an apocalyptic number.

20687068900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20687068900 is the 143830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20687068900

20687068900 is an abundant number, since it is smaller than the sum of its proper divisors (26753572439).

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

20687068900 is an equidigital number, since it uses as much as digits as its factorization.

20687068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 20687068900 in words is "twenty billion, six hundred eighty-seven million, sixty-eight thousand, nine hundred".