5305158720 has 448 divisors, whose sum is σ = 20870265600. Its totient is φ = 1260748800.

The previous prime is 5305158713. The next prime is 5305158721. The reversal of 5305158720 is 278515035.

5305158720 is a `hidden beast` number, since 5 + 3 + 0 + 51 + 587 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5305158721) 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 63 ways as a sum of consecutive naturals, for example, 2789770 + ... + 2791670.

Almost surely, 2^5305158720 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 5305158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435132800).

5305158720 is an abundant number, since it is smaller than the sum of its proper divisors (15565106880).

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

5305158720 is a wasteful number, since it uses less digits than its factorization.

5305158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5305158720 is about 72836.5205099749. The cubic root of 5305158720 is about 1744.0788969161.

It can be divided in two parts, 5305 and 158720, that added together give a square (164025 = 405²).

The spelling of 5305158720 in words is "five billion, three hundred five million, one hundred fifty-eight thousand, seven hundred twenty".