20005432420 has 48 divisors (see below), whose sum is σ = 42161294448. Its totient is φ = 7973683200.

The previous prime is 20005432409. The next prime is 20005432423. The reversal of 20005432420 is 2423450002.

It can be written as a sum of positive squares in 8 ways, for example, as 6584673316 + 13420759104 = 81146^2 + 115848^2 .

It is a super-2 number, since 2×20005432420² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20005432391 and 20005432400.

It is not an unprimeable number, because it can be changed into a prime (20005432423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8088304 + ... + 8090776.

It is an arithmetic number, because the mean of its divisors is an integer number (878360301).

Almost surely, 2^20005432420 is an apocalyptic number.

20005432420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20005432420 is an abundant number, since it is smaller than the sum of its proper divisors (22155862028).

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

20005432420 is a wasteful number, since it uses less digits than its factorization.

20005432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 20005432420 its reverse (2423450002), we get a palindrome (22428882422).

The spelling of 20005432420 in words is "twenty billion, five million, four hundred thirty-two thousand, four hundred twenty".