55861811200 has 576 divisors, whose sum is σ = 161230305600. Its totient is φ = 19031654400.

The previous prime is 55861811191. The next prime is 55861811261. The reversal of 55861811200 is 211816855.

It is a self number, because there is not a number n which added to its sum of digits gives 55861811200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 627660756 + ... + 627660844.

It is an arithmetic number, because the mean of its divisors is an integer number (279913725).

Almost surely, 2^55861811200 is an apocalyptic number.

55861811200 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 55861811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80615152800).

55861811200 is an abundant number, since it is smaller than the sum of its proper divisors (105368494400).

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

55861811200 is a wasteful number, since it uses less digits than its factorization.

55861811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 37.

The spelling of 55861811200 in words is "fifty-five billion, eight hundred sixty-one million, eight hundred eleven thousand, two hundred".