5782168150560 has 576 divisors, whose sum is σ = 21055011475680. Its totient is φ = 1442199306240.

The previous prime is 5782168150513. The next prime is 5782168150571. The reversal of 5782168150560 is 650518612875.

5782168150560 is a `hidden beast` number, since 5 + 7 + 8 + 2 + 1 + 68 + 15 + 0 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 20843274384 + 5761324876176 = 144372^2 + 2400276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5782168150497 and 5782168150506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360004930 + ... + 360020990.

Almost surely, 2^{5782168150560} 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 5782168150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527505737840).

5782168150560 is an abundant number, since it is smaller than the sum of its proper divisors (15272843325120).

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

5782168150560 is a wasteful number, since it uses less digits than its factorization.

5782168150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16381 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 5782168150560 in words is "five trillion, seven hundred eighty-two billion, one hundred sixty-eight million, one hundred fifty thousand, five hundred sixty".