5966767692288 has 480 divisors, whose sum is σ = 19205435929680. Its totient is φ = 1771701534720.

The previous prime is 5966767692257. The next prime is 5966767692289. The reversal of 5966767692288 is 8822967676695.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1871292674304 + 4095475017984 = 1367952^2 + 2023728^2 .

It is not an unprimeable number, because it can be changed into a prime (5966767692289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193654228 + ... + 193685036.

Almost surely, 2^{5966767692288} 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 5966767692288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602717964840).

5966767692288 is an abundant number, since it is smaller than the sum of its proper divisors (13238668237392).

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

5966767692288 is a wasteful number, since it uses less digits than its factorization.

5966767692288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30960 (or 30941 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 5966767692288 in words is "five trillion, nine hundred sixty-six billion, seven hundred sixty-seven million, six hundred ninety-two thousand, two hundred eighty-eight".