20405335260 has 96 divisors (see below), whose sum is σ = 58158777600. Its totient is φ = 5344092160.

The previous prime is 20405335217. The next prime is 20405335267. The reversal of 20405335260 is 6253350402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20405335267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4985815 + ... + 4989905.

It is an arithmetic number, because the mean of its divisors is an integer number (605820600).

Almost surely, 2^20405335260 is an apocalyptic number.

20405335260 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 20405335260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29079388800).

20405335260 is an abundant number, since it is smaller than the sum of its proper divisors (37753442340).

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

20405335260 is a wasteful number, since it uses less digits than its factorization.

20405335260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 20405335260 its reverse (6253350402), we get a palindrome (26658685662).

The spelling of 20405335260 in words is "twenty billion, four hundred five million, three hundred thirty-five thousand, two hundred sixty".