56441667200 has 96 divisors (see below), whose sum is σ = 139986040320. Its totient is φ = 22486400000.

The previous prime is 56441667199. The next prime is 56441667209. The reversal of 56441667200 is 276614465.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56441667209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768065 + ... + 838335.

It is an arithmetic number, because the mean of its divisors is an integer number (1458187920).

Almost surely, 2^56441667200 is an apocalyptic number.

56441667200 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 56441667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69993020160).

56441667200 is an abundant number, since it is smaller than the sum of its proper divisors (83544373120).

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

56441667200 is a wasteful number, since it uses less digits than its factorization.

56441667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70546 (or 70529 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 56441667200 in words is "fifty-six billion, four hundred forty-one million, six hundred sixty-seven thousand, two hundred".