5782358584080 has 2560 divisors, whose sum is σ = 25464770150400. Its totient is φ = 1188756062208.

The previous prime is 5782358584033. The next prime is 5782358584127. The reversal of 5782358584080 is 804858532875.

It is a happy number.

5782358584080 is a `hidden beast` number, since 5 + 7 + 8 + 2 + 3 + 585 + 8 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5782358584033) and next prime (5782358584127).

It is a junction number, because it is equal to n+sod(n) for n = 5782358583999 and 5782358584017.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11056134699 + ... + 11056135221.

It is an arithmetic number, because the mean of its divisors is an integer number (9947175840).

Almost surely, 2^{5782358584080} 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 5782358584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732385075200).

5782358584080 is an abundant number, since it is smaller than the sum of its proper divisors (19682411566320).

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

5782358584080 is a wasteful number, since it uses less digits than its factorization.

5782358584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 5782358584080 in words is "five trillion, seven hundred eighty-two billion, three hundred fifty-eight million, five hundred eighty-four thousand, eighty".