5616523468800 has 504 divisors, whose sum is σ = 20162940020496. Its totient is φ = 1494425272320.

The previous prime is 5616523468799. The next prime is 5616523468819. The reversal of 5616523468800 is 88643256165.

5616523468800 is a `hidden beast` number, since 56 + 1 + 6 + 52 + 3 + 468 + 80 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 897635272 + ... + 897641528.

It is an arithmetic number, because the mean of its divisors is an integer number (40005833374).

Almost surely, 2^{5616523468800} is an apocalyptic number.

5616523468800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5616523468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10081470010248).

5616523468800 is an abundant number, since it is smaller than the sum of its proper divisors (14546416551696).

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

5616523468800 is a wasteful number, since it uses less digits than its factorization.

5616523468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5616523468800 in words is "five trillion, six hundred sixteen billion, five hundred twenty-three million, four hundred sixty-eight thousand, eight hundred".