56318844672 has 288 divisors, whose sum is σ = 178603084800. Its totient is φ = 17442127872.

The previous prime is 56318844671. The next prime is 56318844707. The reversal of 56318844672 is 27644881365.

It is a happy number.

56318844672 is a `hidden beast` number, since 56 + 3 + 1 + 88 + 446 + 72 = 666.

56318844672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56318844671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9279783 + ... + 9285849.

It is an arithmetic number, because the mean of its divisors is an integer number (620149600).

Almost surely, 2^56318844672 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 56318844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89301542400).

56318844672 is an abundant number, since it is smaller than the sum of its proper divisors (122284240128).

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

56318844672 is a wasteful number, since it uses less digits than its factorization.

56318844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6168 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 56318844672 in words is "fifty-six billion, three hundred eighteen million, eight hundred forty-four thousand, six hundred seventy-two".