56322559180800 has 2160 divisors, whose sum is σ = 231082988742144. Its totient is φ = 13447987200000.

The previous prime is 56322559180757. The next prime is 56322559180837. The reversal of 56322559180800 is 808195522365.

It is a happy number.

56322559180800 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 2 + 559 + 1 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 294882508705 + ... + 294882508895.

Almost surely, 2^{56322559180800} is an apocalyptic number.

56322559180800 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 56322559180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115541494371072).

56322559180800 is an abundant number, since it is smaller than the sum of its proper divisors (174760429561344).

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

56322559180800 is a wasteful number, since it uses less digits than its factorization.

56322559180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 56322559180800 in words is "fifty-six trillion, three hundred twenty-two billion, five hundred fifty-nine million, one hundred eighty thousand, eight hundred".