5826242225160 has 640 divisors, whose sum is σ = 23619312288000. Its totient is φ = 1258342926336.

The previous prime is 5826242225129. The next prime is 5826242225161. The reversal of 5826242225160 is 615222426285.

5826242225160 is a `hidden beast` number, since 5 + 8 + 2 + 62 + 422 + 2 + 5 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5826242225161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167610502 + ... + 167645258.

It is an arithmetic number, because the mean of its divisors is an integer number (36905175450).

Almost surely, 2^{5826242225160} 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 5826242225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11809656144000).

5826242225160 is an abundant number, since it is smaller than the sum of its proper divisors (17793070062840).

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

5826242225160 is a wasteful number, since it uses less digits than its factorization.

5826242225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35195 (or 35182 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5826242225160 in words is "five trillion, eight hundred twenty-six billion, two hundred forty-two million, two hundred twenty-five thousand, one hundred sixty".