5205769415028 has 144 divisors (see below), whose sum is σ = 16204859274240. Its totient is φ = 1372176018432.

The previous prime is 5205769415027. The next prime is 5205769415039. The reversal of 5205769415028 is 8205149675025.

5205769415028 is a `hidden beast` number, since 5 + 2 + 0 + 576 + 9 + 41 + 5 + 0 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205769415027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5374333 + ... + 6268571.

It is an arithmetic number, because the mean of its divisors is an integer number (112533744960).

Almost surely, 2^{5205769415028} 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 5205769415028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102429637120).

5205769415028 is an abundant number, since it is smaller than the sum of its proper divisors (10999089859212).

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

5205769415028 is a wasteful number, since it uses less digits than its factorization.

5205769415028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896046 (or 896041 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5205769415028 in words is "five trillion, two hundred five billion, seven hundred sixty-nine million, four hundred fifteen thousand, twenty-eight".