56224736000 has 288 divisors, whose sum is σ = 148367419200. Its totient is φ = 21194342400.

The previous prime is 56224735981. The next prime is 56224736047. The reversal of 56224736000 is 63742265.

It is a super-2 number, since 2×56224736000² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 39903296 + ... + 39904704.

It is an arithmetic number, because the mean of its divisors is an integer number (515164650).

Almost surely, 2^56224736000 is an apocalyptic number.

56224736000 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 56224736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74183709600).

56224736000 is an abundant number, since it is smaller than the sum of its proper divisors (92142683200).

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

56224736000 is a wasteful number, since it uses less digits than its factorization.

56224736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 56224736000 in words is "fifty-six billion, two hundred twenty-four million, seven hundred thirty-six thousand".