5820766888608 has 360 divisors, whose sum is σ = 20326843555200. Its totient is φ = 1575542368512.

The previous prime is 5820766888597. The next prime is 5820766888609. The reversal of 5820766888608 is 8068886670285.

5820766888608 is a `hidden beast` number, since 5 + 8 + 2 + 0 + 7 + 6 + 6 + 8 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5820766888609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12916753 + ... + 13359791.

It is an arithmetic number, because the mean of its divisors is an integer number (56463454320).

Almost surely, 2^{5820766888608} 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 5820766888608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163421777600).

5820766888608 is an abundant number, since it is smaller than the sum of its proper divisors (14506076666592).

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

5820766888608 is a wasteful number, since it uses less digits than its factorization.

5820766888608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443102 (or 443070 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 5820766888608 in words is "five trillion, eight hundred twenty billion, seven hundred sixty-six million, eight hundred eighty-eight thousand, six hundred eight".