5688117365600 has 144 divisors (see below), whose sum is σ = 14211505999152. Its totient is φ = 2221950044160.

The previous prime is 5688117365599. The next prime is 5688117365611. The reversal of 5688117365600 is 65637118865.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277012934 + ... + 277033466.

It is an arithmetic number, because the mean of its divisors is an integer number (98691013883).

Almost surely, 2^{5688117365600} is an apocalyptic number.

5688117365600 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 5688117365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105752999576).

5688117365600 is an abundant number, since it is smaller than the sum of its proper divisors (8523388633552).

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

5688117365600 is a wasteful number, since it uses less digits than its factorization.

5688117365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28649 (or 28636 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 5688117365600 in words is "five trillion, six hundred eighty-eight billion, one hundred seventeen million, three hundred sixty-five thousand, six hundred".