56299856025600 has 3456 divisors, whose sum is σ = 250518990758400. Its totient is φ = 12265036185600.

The previous prime is 56299856025571. The next prime is 56299856025607. The reversal of 56299856025600 is 652065899265.

56299856025600 is a `hidden beast` number, since 5 + 6 + 2 + 9 + 9 + 8 + 5 + 60 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56299856025607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101076940522 + ... + 101076941078.

It is an arithmetic number, because the mean of its divisors is an integer number (72488133900).

Almost surely, 2^{56299856025600} is an apocalyptic number.

56299856025600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56299856025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125259495379200).

56299856025600 is an abundant number, since it is smaller than the sum of its proper divisors (194219134732800).

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

56299856025600 is a wasteful number, since it uses less digits than its factorization.

56299856025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 56299856025600 in words is "fifty-six trillion, two hundred ninety-nine billion, eight hundred fifty-six million, twenty-five thousand, six hundred".