5688142004160 has 4480 divisors, whose sum is σ = 28770281312256. Its totient is φ = 1030045040640.

The previous prime is 5688142004119. The next prime is 5688142004227. The reversal of 5688142004160 is 614002418865.

It is a happy number.

5688142004160 is a `hidden beast` number, since 5 + 68 + 8 + 1 + 420 + 0 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 28873817182 + ... + 28873817378.

Almost surely, 2^{5688142004160} 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 5688142004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385140656128).

5688142004160 is an abundant number, since it is smaller than the sum of its proper divisors (23082139308096).

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

5688142004160 is a wasteful number, since it uses less digits than its factorization.

5688142004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5688142004160 in words is "five trillion, six hundred eighty-eight billion, one hundred forty-two million, four thousand, one hundred sixty".