5715360000 has 945 divisors, whose sum is σ = 24863768391. Its totient is φ = 1306368000.

The previous prime is 5715359987. The next prime is 5715360073. The reversal of 5715360000 is 635175.

The square root of 5715360000 is 75600.

It is a perfect power (a square), and thus also a powerful number.

5715360000 is a `hidden beast` number, since 5 + 7 + 1 + 53 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 5267275776 = 21168^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 104 ways as a sum of consecutive naturals, for example, 816479997 + ... + 816480003.

Almost surely, 2^5715360000 is an apocalyptic number.

5715360000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5715360000 is the 75600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5715360000

5715360000 is an abundant number, since it is smaller than the sum of its proper divisors (19148408391).

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

5715360000 is an frugal number, since it uses more digits than its factorization.

5715360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The cubic root of 5715360000 is about 1787.9190990827.

Adding to 5715360000 its reverse (635175), we get a palindrome (5715995175).

The spelling of 5715360000 in words is "five billion, seven hundred fifteen million, three hundred sixty thousand".