5895303882240 has 320 divisors, whose sum is σ = 19068831302400. Its totient is φ = 1553648615424.

The previous prime is 5895303882227. The next prime is 5895303882241. The reversal of 5895303882240 is 422883035985.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5895303882241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224066206 + ... + 224092514.

It is an arithmetic number, because the mean of its divisors is an integer number (59590097820).

Almost surely, 2^{5895303882240} 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 5895303882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534415651200).

5895303882240 is an abundant number, since it is smaller than the sum of its proper divisors (13173527420160).

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

5895303882240 is a wasteful number, since it uses less digits than its factorization.

5895303882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677 (or 26661 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 5895303882240 in words is "five trillion, eight hundred ninety-five billion, three hundred three million, eight hundred eighty-two thousand, two hundred forty".