5758871040 has 960 divisors, whose sum is σ = 24262286400. Its totient is φ = 1288175616.

The previous prime is 5758871021. The next prime is 5758871047. The reversal of 5758871040 is 401788575.

It is a happy number.

5758871040 is a `hidden beast` number, since 57 + 588 + 7 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758871047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198581746 + ... + 198581774.

It is an arithmetic number, because the mean of its divisors is an integer number (25273215).

Almost surely, 2^5758871040 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 5758871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131143200).

5758871040 is an abundant number, since it is smaller than the sum of its proper divisors (18503415360).

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

5758871040 is a wasteful number, since it uses less digits than its factorization.

5758871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5758871040 is about 75887.2258025025. The cubic root of 5758871040 is about 1792.4447769265. Note that the first 3 decimals are identical.

The spelling of 5758871040 in words is "five billion, seven hundred fifty-eight million, eight hundred seventy-one thousand, forty".