56506481568 has 144 divisors (see below), whose sum is σ = 166165638912. Its totient is φ = 18195840000.

The previous prime is 56506481501. The next prime is 56506481569. The reversal of 56506481568 is 86518460565.

56506481568 is a `hidden beast` number, since 5 + 6 + 506 + 4 + 81 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (56506481569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5360463 + ... + 5370993.

It is an arithmetic number, because the mean of its divisors is an integer number (1153928048).

Almost surely, 2^56506481568 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 56506481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83082819456).

56506481568 is an abundant number, since it is smaller than the sum of its proper divisors (109659157344).

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

56506481568 is a wasteful number, since it uses less digits than its factorization.

56506481568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 56506481568 in words is "fifty-six billion, five hundred six million, four hundred eighty-one thousand, five hundred sixty-eight".