5073584256 has 128 divisors (see below), whose sum is σ = 16126118400. Its totient is φ = 1561089024.

The previous prime is 5073584251. The next prime is 5073584287. The reversal of 5073584256 is 6524853705.

5073584256 is a `hidden beast` number, since 507 + 3 + 58 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5073584251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11536 + ... + 101391.

It is an arithmetic number, because the mean of its divisors is an integer number (125985300).

Almost surely, 2^5073584256 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 5073584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063059200).

5073584256 is an abundant number, since it is smaller than the sum of its proper divisors (11052534144).

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

5073584256 is a wasteful number, since it uses less digits than its factorization.

5073584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112963 (or 112945 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5073584256 is about 71229.0969758848. The cubic root of 5073584256 is about 1718.3236163420.

The spelling of 5073584256 in words is "five billion, seventy-three million, five hundred eighty-four thousand, two hundred fifty-six".