5685120000 has 880 divisors, whose sum is σ = 24556139520. Its totient is φ = 1271808000.

The previous prime is 5685119989. The next prime is 5685120019. The reversal of 5685120000 is 215865.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959977 + ... + 120960023.

It is an arithmetic number, because the mean of its divisors is an integer number (27904704).

Almost surely, 2^5685120000 is an apocalyptic number.

5685120000 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 5685120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12278069760).

5685120000 is an abundant number, since it is smaller than the sum of its proper divisors (18871019520).

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

5685120000 is an equidigital number, since it uses as much as digits as its factorization.

5685120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5685120000 is about 75399.7347475440. The cubic root of 5685120000 is about 1784.7602248370.

Adding to 5685120000 its reverse (215865), we get a palindrome (5685335865).

The spelling of 5685120000 in words is "five billion, six hundred eighty-five million, one hundred twenty thousand".