56681026560 has 440 divisors, whose sum is σ = 205352337960. Its totient is φ = 14948499456.

The previous prime is 56681026487. The next prime is 56681026607. The reversal of 56681026560 is 6562018665.

It is a happy number.

56681026560 is a `hidden beast` number, since 5 + 6 + 6 + 81 + 0 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 56590700544 = 9504^2 + 237888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40227136 + ... + 40228544.

It is an arithmetic number, because the mean of its divisors is an integer number (466709859).

Almost surely, 2^56681026560 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 56681026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102676168980).

56681026560 is an abundant number, since it is smaller than the sum of its proper divisors (148671311400).

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

56681026560 is a wasteful number, since it uses less digits than its factorization.

56681026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56681026560 in words is "fifty-six billion, six hundred eighty-one million, twenty-six thousand, five hundred sixty".