5688170913600 has 672 divisors, whose sum is σ = 23710471004160. Its totient is φ = 1299452958720.

The previous prime is 5688170913599. The next prime is 5688170913611. The reversal of 5688170913600 is 63190718865.

5688170913600 is a `hidden beast` number, since 5 + 6 + 8 + 8 + 17 + 0 + 9 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 739968957 + ... + 739976643.

Almost surely, 2^{5688170913600} is an apocalyptic number.

5688170913600 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 5688170913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855235502080).

5688170913600 is an abundant number, since it is smaller than the sum of its proper divisors (18022300090560).

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

5688170913600 is a wasteful number, since it uses less digits than its factorization.

5688170913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 5688170913600 in words is "five trillion, six hundred eighty-eight billion, one hundred seventy million, nine hundred thirteen thousand, six hundred".