5682175349760 has 2640 divisors, whose sum is σ = 25857916462224. Its totient is φ = 1182545215488.

The previous prime is 5682175349717. The next prime is 5682175349771. The reversal of 5682175349760 is 679435712865.

5682175349760 is a `hidden beast` number, since 5 + 6 + 8 + 2 + 1 + 7 + 534 + 97 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 593072492544 + 5089102857216 = 770112^2 + 2255904^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36192199602 + ... + 36192199758.

It is a 1-persistent number, because it is pandigital, but 2⋅5682175349760 = 11364350699520 is not.

Almost surely, 2^{5682175349760} 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 5682175349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928958231112).

5682175349760 is an abundant number, since it is smaller than the sum of its proper divisors (20175741112464).

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

5682175349760 is a wasteful number, since it uses less digits than its factorization.

5682175349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5682175349760 in words is "five trillion, six hundred eighty-two billion, one hundred seventy-five million, three hundred forty-nine thousand, seven hundred sixty".