5688385920 has 1024 divisors, whose sum is σ = 25004851200. Its totient is φ = 1194393600.

The previous prime is 5688385909. The next prime is 5688385973. The reversal of 5688385920 is 295838865.

5688385920 is a `hidden beast` number, since 568 + 8 + 3 + 8 + 59 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138741100 + ... + 138741140.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^5688385920 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 5688385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502425600).

5688385920 is an abundant number, since it is smaller than the sum of its proper divisors (19316465280).

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

5688385920 is a wasteful number, since it uses less digits than its factorization.

5688385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 5688385920 is about 75421.3890086890. The cubic root of 5688385920 is about 1785.1019220102.

The spelling of 5688385920 in words is "five billion, six hundred eighty-eight million, three hundred eighty-five thousand, nine hundred twenty".