56224731916800 has 2880 divisors, whose sum is σ = 231088581884160. Its totient is φ = 13488685056000.

The previous prime is 56224731916789. The next prime is 56224731916813. The reversal of 56224731916800 is 861913742265.

It is a happy number.

56224731916800 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 473 + 1 + 9 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×56224731916800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 85060108470 + ... + 85060109130.

It is an arithmetic number, because the mean of its divisors is an integer number (80239090932).

It is a 1-persistent number, because it is pandigital, but 2⋅56224731916800 = 112449463833600 is not.

Almost surely, 2^{56224731916800} is an apocalyptic number.

56224731916800 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 56224731916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115544290942080).

56224731916800 is an abundant number, since it is smaller than the sum of its proper divisors (174863849967360).

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

56224731916800 is a wasteful number, since it uses less digits than its factorization.

56224731916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56224731916800 in words is "fifty-six trillion, two hundred twenty-four billion, seven hundred thirty-one million, nine hundred sixteen thousand, eight hundred".