56450606488320 has 432 divisors, whose sum is σ = 201527932757760. Its totient is φ = 13453039902720.

The previous prime is 56450606488319. The next prime is 56450606488417. The reversal of 56450606488320 is 2388460605465.

It is a happy number.

56450606488320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 26384157 + ... + 28443363.

Almost surely, 2^{56450606488320} 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 56450606488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100763966378880).

56450606488320 is an abundant number, since it is smaller than the sum of its proper divisors (145077326269440).

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

56450606488320 is a wasteful number, since it uses less digits than its factorization.

56450606488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059312 (or 2059287 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 56450606488320 in words is "fifty-six trillion, four hundred fifty billion, six hundred six million, four hundred eighty-eight thousand, three hundred twenty".