20420013200 has 60 divisors (see below), whose sum is σ = 49564939620. Its totient is φ = 8083783680.

The previous prime is 20420013197. The next prime is 20420013253. The reversal of 20420013200 is 231002402.

It can be written as a sum of positive squares in 6 ways, for example, as 87534736 + 20332478464 = 9356^2 + 142592^2 .

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 11 ways as a sum of consecutive naturals, for example, 224345 + ... + 301944.

It is an arithmetic number, because the mean of its divisors is an integer number (826082327).

Almost surely, 2^20420013200 is an apocalyptic number.

20420013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420013200 is an abundant number, since it is smaller than the sum of its proper divisors (29144926420).

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

20420013200 is a wasteful number, since it uses less digits than its factorization.

20420013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526404 (or 526393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20420013200 its reverse (231002402), we get a palindrome (20651015602).

The spelling of 20420013200 in words is "twenty billion, four hundred twenty million, thirteen thousand, two hundred".