5578669942272 has 480 divisors, whose sum is σ = 19993797457920. Its totient is φ = 1461300756480.

The previous prime is 5578669942249. The next prime is 5578669942283. The reversal of 5578669942272 is 2722499668755.

5578669942272 is a `hidden beast` number, since 5 + 5 + 78 + 6 + 69 + 9 + 422 + 72 = 666.

It is a super-2 number, since 2×5578669942272² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5578669942272.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18851968 + ... + 19145600.

It is an arithmetic number, because the mean of its divisors is an integer number (41653744704).

Almost surely, 2^{5578669942272} 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 5578669942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996898728960).

5578669942272 is an abundant number, since it is smaller than the sum of its proper divisors (14415127515648).

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

5578669942272 is a wasteful number, since it uses less digits than its factorization.

5578669942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293714 (or 293695 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 5578669942272 in words is "five trillion, five hundred seventy-eight billion, six hundred sixty-nine million, nine hundred forty-two thousand, two hundred seventy-two".