56000110656000 has 320 divisors, whose sum is σ = 212784425568000. Its totient is φ = 12800024985600.

The previous prime is 56000110655953. The next prime is 56000110656001. The reversal of 56000110656000 is 65601100065.

56000110656000 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56000110656001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19489375 + ... + 22177374.

It is an arithmetic number, because the mean of its divisors is an integer number (664951329900).

Almost surely, 2^{56000110656000} is an apocalyptic number.

56000110656000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56000110656000 is an abundant number, since it is smaller than the sum of its proper divisors (156784314912000).

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

56000110656000 is an equidigital number, since it uses as much as digits as its factorization.

56000110656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41666792 (or 41666766 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 56000110656000 its reverse (65601100065), we get a palindrome (56065711756065).

The spelling of 56000110656000 in words is "fifty-six trillion, one hundred ten million, six hundred fifty-six thousand".