56006644800 has 168 divisors, whose sum is σ = 184179663136. Its totient is φ = 14900060160.

The previous prime is 56006644787. The next prime is 56006644817. The reversal of 56006644800 is 844660065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064927 + ... + 2091873.

Almost surely, 2^56006644800 is an apocalyptic number.

56006644800 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 56006644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92089831568).

56006644800 is an abundant number, since it is smaller than the sum of its proper divisors (128173018336).

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

56006644800 is a wasteful number, since it uses less digits than its factorization.

56006644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27405 (or 27390 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 56006644800 in words is "fifty-six billion, six million, six hundred forty-four thousand, eight hundred".