56336925351168 has 2016 divisors, whose sum is σ = 225839892096000. Its totient is φ = 13859519385600.

The previous prime is 56336925351143. The next prime is 56336925351191. The reversal of 56336925351168 is 86115352963365.

56336925351168 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 6 + 9 + 2 + 53 + 511 + 68 = 666.

56336925351168 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 (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 13378512583 + ... + 13378516793.

It is an arithmetic number, because the mean of its divisors is an integer number (112023756000).

Almost surely, 2^{56336925351168} 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 56336925351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112919946048000).

56336925351168 is an abundant number, since it is smaller than the sum of its proper divisors (169502966744832).

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

56336925351168 is an equidigital number, since it uses as much as digits as its factorization.

56336925351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4253 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 63.

The spelling of 56336925351168 in words is "fifty-six trillion, three hundred thirty-six billion, nine hundred twenty-five million, three hundred fifty-one thousand, one hundred sixty-eight".