56448928284672 has 1024 divisors, whose sum is σ = 200687337676800. Its totient is φ = 13662400020480.

The previous prime is 56448928284659. The next prime is 56448928284691. The reversal of 56448928284672 is 27648282984465.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 56448928284594 and 56448928284603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13254031279 + ... + 13254035537.

It is an arithmetic number, because the mean of its divisors is an integer number (195983728200).

Almost surely, 2^{56448928284672} 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 56448928284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100343668838400).

56448928284672 is an abundant number, since it is smaller than the sum of its proper divisors (144238409392128).

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

56448928284672 is a wasteful number, since it uses less digits than its factorization.

56448928284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4402 counting only the distinct ones).

The product of its digits is 2972712960, while the sum is 75.

The spelling of 56448928284672 in words is "fifty-six trillion, four hundred forty-eight billion, nine hundred twenty-eight million, two hundred eighty-four thousand, six hundred seventy-two".