5788661760 has 480 divisors, whose sum is σ = 23736192480. Its totient is φ = 1321795584.

The previous prime is 5788661741. The next prime is 5788661797. The reversal of 5788661760 is 671668875.

5788661760 is a `hidden beast` number, since 578 + 8 + 6 + 6 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5788661697 and 5788661706.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5805582 + ... + 5806578.

It is an arithmetic number, because the mean of its divisors is an integer number (49450401).

Almost surely, 2^5788661760 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 5788661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868096240).

5788661760 is an abundant number, since it is smaller than the sum of its proper divisors (17947530720).

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

5788661760 is an equidigital number, since it uses as much as digits as its factorization.

5788661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5788661760 is about 76083.2554508546. The cubic root of 5788661760 is about 1795.5302432286.

The spelling of 5788661760 in words is "five billion, seven hundred eighty-eight million, six hundred sixty-one thousand, seven hundred sixty".