5685523292160 has 672 divisors, whose sum is σ = 20339511538320. Its totient is φ = 1468010594304.

The previous prime is 5685523292143. The next prime is 5685523292161. The reversal of 5685523292160 is 612923255865.

5685523292160 is a `hidden beast` number, since 5 + 6 + 8 + 552 + 3 + 2 + 9 + 21 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4313364074496 + 1372159217664 = 2076864^2 + 1171392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5685523292097 and 5685523292106.

It is not an unprimeable number, because it can be changed into a prime (5685523292161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178044546 + ... + 3178046334.

Almost surely, 2^{5685523292160} 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 5685523292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169755769160).

5685523292160 is an abundant number, since it is smaller than the sum of its proper divisors (14653988246160).

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

5685523292160 is a wasteful number, since it uses less digits than its factorization.

5685523292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5685523292160 in words is "five trillion, six hundred eighty-five billion, five hundred twenty-three million, two hundred ninety-two thousand, one hundred sixty".