55730419200 has 720 divisors, whose sum is σ = 211865673360. Its totient is φ = 14345994240.

The previous prime is 55730419189. The next prime is 55730419207. The reversal of 55730419200 is 291403755.

55730419200 is a `hidden beast` number, since 5 + 5 + 7 + 30 + 419 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55730419207) 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 71 ways as a sum of consecutive naturals, for example, 763430364 + ... + 763430436.

Almost surely, 2^55730419200 is an apocalyptic number.

55730419200 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 55730419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105932836680).

55730419200 is an abundant number, since it is smaller than the sum of its proper divisors (156135254160).

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

55730419200 is an equidigital number, since it uses as much as digits as its factorization.

55730419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 55730419200 in words is "fifty-five billion, seven hundred thirty million, four hundred nineteen thousand, two hundred".