5725166135360 has 448 divisors, whose sum is σ = 16962805678080. Its totient is φ = 1796099235840.

The previous prime is 5725166135347. The next prime is 5725166135363. The reversal of 5725166135360 is 635316615275.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 5725166135299 and 5725166135308.

It is not an unprimeable number, because it can be changed into a prime (5725166135363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721685954 + ... + 721693886.

Almost surely, 2^{5725166135360} 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 5725166135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481402839040).

5725166135360 is an abundant number, since it is smaller than the sum of its proper divisors (11237639542720).

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

5725166135360 is a wasteful number, since it uses less digits than its factorization.

5725166135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 5725166135360 in words is "five trillion, seven hundred twenty-five billion, one hundred sixty-six million, one hundred thirty-five thousand, three hundred sixty".