5758560000 has 720 divisors, whose sum is σ = 22476805120. Its totient is φ = 1451520000.

The previous prime is 5758559941. The next prime is 5758560001. The reversal of 5758560000 is 658575.

5758560000 is a `hidden beast` number, since 575 + 85 + 6 + 0 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×5758560000² = 66322026547200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758560001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133919979 + ... + 133920021.

Almost surely, 2^5758560000 is an apocalyptic number.

5758560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5758560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238402560).

5758560000 is an abundant number, since it is smaller than the sum of its proper divisors (16718245120).

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

5758560000 is an equidigital number, since it uses as much as digits as its factorization.

5758560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

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

The square root of 5758560000 is about 75885.1764180594. The cubic root of 5758560000 is about 1792.4125060146.

The spelling of 5758560000 in words is "five billion, seven hundred fifty-eight million, five hundred sixty thousand".