56228168908800 has 3240 divisors, whose sum is σ = 247907284133600. Its totient is φ = 12641461862400.

The previous prime is 56228168908781. The next prime is 56228168908831. The reversal of 56228168908800 is 880986182265.

56228168908800 is a `hidden beast` number, since 562 + 2 + 8 + 1 + 68 + 9 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-3 number, since 3×56228168908800³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 921773260770 + ... + 921773260830.

Almost surely, 2^{56228168908800} is an apocalyptic number.

56228168908800 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 56228168908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123953642066800).

56228168908800 is an abundant number, since it is smaller than the sum of its proper divisors (191679115224800).

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

56228168908800 is an frugal number, since it uses more digits than its factorization.

56228168908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 56228168908800 in words is "fifty-six trillion, two hundred twenty-eight billion, one hundred sixty-eight million, nine hundred eight thousand, eight hundred".