305309720544 has 96 divisors (see below), whose sum is σ = 812295921024. Its totient is φ = 100394764800.

The previous prime is 305309720533. The next prime is 305309720549. The reversal of 305309720544 is 445027903503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 305309720496 and 305309720505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305309720549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5414094 + ... + 5470194.

It is an arithmetic number, because the mean of its divisors is an integer number (8461415844).

Almost surely, 2^305309720544 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 305309720544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406147960512).

305309720544 is an abundant number, since it is smaller than the sum of its proper divisors (506986200480).

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

305309720544 is a wasteful number, since it uses less digits than its factorization.

305309720544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56880 (or 56872 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 305309720544 in words is "three hundred five billion, three hundred nine million, seven hundred twenty thousand, five hundred forty-four".