5709150720 has 720 divisors, whose sum is σ = 24833488680. Its totient is φ = 1201471488.

The previous prime is 5709150709. The next prime is 5709150731. The reversal of 5709150720 is 270519075.

5709150720 is a `hidden beast` number, since 570 + 9 + 15 + 0 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5709150709) and next prime (5709150731).

It can be written as a sum of positive squares in 4 ways, for example, as 2782773504 + 2926377216 = 52752^2 + 54096^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14676286 + ... + 14676674.

Almost surely, 2^5709150720 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 5709150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12416744340).

5709150720 is an abundant number, since it is smaller than the sum of its proper divisors (19124337960).

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

5709150720 is a wasteful number, since it uses less digits than its factorization.

5709150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 5709150720 is about 75558.9221733608. The cubic root of 5709150720 is about 1787.2713875884.

Adding to 5709150720 its reverse (270519075), we get a palindrome (5979669795).

The spelling of 5709150720 in words is "five billion, seven hundred nine million, one hundred fifty thousand, seven hundred twenty".