20424000000 has 560 divisors, whose sum is σ = 72887817024. Its totient is φ = 5068800000.

The previous prime is 20423999983. The next prime is 20424000029. The reversal of 20424000000 is 42402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20424000000.

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 55 ways as a sum of consecutive naturals, for example, 551999982 + ... + 552000018.

Almost surely, 2^20424000000 is an apocalyptic number.

20424000000 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 20424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36443908512).

20424000000 is an abundant number, since it is smaller than the sum of its proper divisors (52463817024).

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

20424000000 is an frugal number, since it uses more digits than its factorization.

20424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20424000000 its reverse (42402), we get a palindrome (20424042402).

The spelling of 20424000000 in words is "twenty billion, four hundred twenty-four million", and thus it is an aban number.