5813768670160 has 120 divisors (see below), whose sum is σ = 14875927645320. Its totient is φ = 2111481630720.

The previous prime is 5813768670113. The next prime is 5813768670169. The reversal of 5813768670160 is 610768673185.

It can be written as a sum of positive squares in 4 ways, for example, as 488640144784 + 5325128525376 = 699028^2 + 2307624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5813768670095 and 5813768670104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813768670169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7459924 + ... + 8202316.

It is an arithmetic number, because the mean of its divisors is an integer number (123966063711).

Almost surely, 2^{5813768670160} 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 5813768670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437963822660).

5813768670160 is an abundant number, since it is smaller than the sum of its proper divisors (9062158975160).

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

5813768670160 is a wasteful number, since it uses less digits than its factorization.

5813768670160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743237 (or 743220 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 5813768670160 in words is "five trillion, eight hundred thirteen billion, seven hundred sixty-eight million, six hundred seventy thousand, one hundred sixty".