56323845258240 has 2112 divisors, whose sum is σ = 218815577487360. Its totient is φ = 12323546726400.

The previous prime is 56323845258217. The next prime is 56323845258269. The reversal of 56323845258240 is 4285254832365.

It is a happy number.

56323845258240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 498441108424 + ... + 498441108536.

Almost surely, 2^{56323845258240} 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 56323845258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109407788743680).

56323845258240 is an abundant number, since it is smaller than the sum of its proper divisors (162491732229120).

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

56323845258240 is a wasteful number, since it uses less digits than its factorization.

56323845258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 57.

The spelling of 56323845258240 in words is "fifty-six trillion, three hundred twenty-three billion, eight hundred forty-five million, two hundred fifty-eight thousand, two hundred forty".