5305306345020 has 144 divisors (see below), whose sum is σ = 17566270656480. Its totient is φ = 1285363468800.

The previous prime is 5305306344979. The next prime is 5305306345021. The reversal of 5305306345020 is 205436035035.

5305306345020 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 306 + 345 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305306345021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501910 + ... + 4107330.

It is an arithmetic number, because the mean of its divisors is an integer number (121987990670).

Almost surely, 2^{5305306345020} 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 5305306345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783135328240).

5305306345020 is an abundant number, since it is smaller than the sum of its proper divisors (12260964311460).

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

5305306345020 is a wasteful number, since it uses less digits than its factorization.

5305306345020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607116 (or 1607111 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 5305306345020 in words is "five trillion, three hundred five billion, three hundred six million, three hundred forty-five thousand, twenty".