56448000000 has 882 divisors, whose sum is σ = 237102492393. Its totient is φ = 12902400000.

The previous prime is 56447999983. The next prime is 56448000001. The reversal of 56448000000 is 84465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 9625964544 + 46822035456 = 98112^2 + 216384^2 .

It is a tau number, because it is divible by the number of its divisors (882).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=168000.

It is not an unprimeable number, because it can be changed into a prime (56448000001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8063999997 + ... + 8064000003.

Almost surely, 2^56448000000 is an apocalyptic number.

56448000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56448000000

56448000000 is an abundant number, since it is smaller than the sum of its proper divisors (180654492393).

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

56448000000 is an frugal number, since it uses more digits than its factorization.

56448000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 56448000000 its reverse (84465), we get a palindrome (56448084465).

The spelling of 56448000000 in words is "fifty-six billion, four hundred forty-eight million", and thus it is an aban number.