5105220033420 has 288 divisors, whose sum is σ = 17300344396608. Its totient is φ = 1256260948992.

The previous prime is 5105220033391. The next prime is 5105220033421. The reversal of 5105220033420 is 243300225015.

It is a happy number.

5105220033420 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 2 + 200 + 33 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5105220033421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224719902 + ... + 224742618.

It is an arithmetic number, because the mean of its divisors is an integer number (60070640266).

Almost surely, 2^{5105220033420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105220033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650172198304).

5105220033420 is an abundant number, since it is smaller than the sum of its proper divisors (12195124363188).

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

5105220033420 is a wasteful number, since it uses less digits than its factorization.

5105220033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26311 (or 26297 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 5105220033420 its reverse (243300225015), we get a palindrome (5348520258435).

The spelling of 5105220033420 in words is "five trillion, one hundred five billion, two hundred twenty million, thirty-three thousand, four hundred twenty".