5701116960 has 960 divisors, whose sum is σ = 26081637120. Its totient is φ = 1137991680.

The previous prime is 5701116947. The next prime is 5701116983. The reversal of 5701116960 is 696111075.

It is a happy number.

5701116960 is a `hidden beast` number, since 570 + 11 + 16 + 9 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28939582 + ... + 28939778.

It is an arithmetic number, because the mean of its divisors is an integer number (27168372).

Almost surely, 2^5701116960 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 5701116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040818560).

5701116960 is an abundant number, since it is smaller than the sum of its proper divisors (20380520160).

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

5701116960 is a wasteful number, since it uses less digits than its factorization.

5701116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 5701116960 is about 75505.7412386634. The cubic root of 5701116960 is about 1786.4326609941.

The spelling of 5701116960 in words is "five billion, seven hundred one million, one hundred sixteen thousand, nine hundred sixty".