5790566880 has 960 divisors, whose sum is σ = 25291284480. Its totient is φ = 1219276800.

The previous prime is 5790566879. The next prime is 5790566891. The reversal of 5790566880 is 886650975.

5790566880 is a `hidden beast` number, since 5 + 79 + 0 + 566 + 8 + 8 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 81557245 + ... + 81557315.

It is an arithmetic number, because the mean of its divisors is an integer number (26345088).

Almost surely, 2^5790566880 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 5790566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645642240).

5790566880 is an abundant number, since it is smaller than the sum of its proper divisors (19500717600).

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

5790566880 is a wasteful number, since it uses less digits than its factorization.

5790566880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5790566880 is about 76095.7743899095. The cubic root of 5790566880 is about 1795.7271986748.

The spelling of 5790566880 in words is "five billion, seven hundred ninety million, five hundred sixty-six thousand, eight hundred eighty".