5578600345164 has 864 divisors, whose sum is σ = 19099579699200. Its totient is φ = 1369146240000.

The previous prime is 5578600345117. The next prime is 5578600345247. The reversal of 5578600345164 is 4615430068755.

It is a happy number.

5578600345164 is a `hidden beast` number, since 5 + 5 + 78 + 60 + 0 + 3 + 451 + 64 = 666.

It is a super-2 number, since 2×5578600345164² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5578600345164.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1991644564 + ... + 1991647364.

Almost surely, 2^{5578600345164} 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 5578600345164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549789849600).

5578600345164 is an abundant number, since it is smaller than the sum of its proper divisors (13520979354036).

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

5578600345164 is a wasteful number, since it uses less digits than its factorization.

5578600345164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 5578600345164 in words is "five trillion, five hundred seventy-eight billion, six hundred million, three hundred forty-five thousand, one hundred sixty-four".