56705956280568 has 192 divisors, whose sum is σ = 182067602895360. Its totient is φ = 16197386196096.

The previous prime is 56705956280549. The next prime is 56705956280587. The reversal of 56705956280568 is 86508265950765.

56705956280568 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 5 + 9 + 56 + 2 + 8 + 0 + 568 = 666.

56705956280568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56705956280549) and next prime (56705956280587).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56705956280496 and 56705956280505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50708230 + ... + 51814442.

It is an arithmetic number, because the mean of its divisors is an integer number (948268765080).

Almost surely, 2^{56705956280568} 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 56705956280568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91033801447680).

56705956280568 is an abundant number, since it is smaller than the sum of its proper divisors (125361646614792).

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

56705956280568 is a wasteful number, since it uses less digits than its factorization.

56705956280568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110008 (or 1109992 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 72.

The spelling of 56705956280568 in words is "fifty-six trillion, seven hundred five billion, nine hundred fifty-six million, two hundred eighty thousand, five hundred sixty-eight".