5685935616000 has 1248 divisors, whose sum is σ = 22191697801728. Its totient is φ = 1449595699200.

The previous prime is 5685935615999. The next prime is 5685935616043. The reversal of 5685935616000 is 6165395865.

It is a happy number.

5685935616000 is a `hidden beast` number, since 56 + 85 + 9 + 356 + 160 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2861567007 + ... + 2861568993.

It is an arithmetic number, because the mean of its divisors is an integer number (17781809136).

Almost surely, 2^{5685935616000} is an apocalyptic number.

5685935616000 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 5685935616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095848900864).

5685935616000 is an abundant number, since it is smaller than the sum of its proper divisors (16505762185728).

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

5685935616000 is an equidigital number, since it uses as much as digits as its factorization.

5685935616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 5685935616000 in words is "five trillion, six hundred eighty-five billion, nine hundred thirty-five million, six hundred sixteen thousand".