55530446400 has 1344 divisors, whose sum is σ = 242871955200. Its totient is φ = 12165120000.

The previous prime is 55530446339. The next prime is 55530446401. The reversal of 55530446400 is 464403555.

55530446400 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 0 + 4 + 4 + 640 + 0 = 666.

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 (55530446401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 549806350 + ... + 549806450.

It is an arithmetic number, because the mean of its divisors is an integer number (180708300).

Almost surely, 2^55530446400 is an apocalyptic number.

55530446400 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 55530446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121435977600).

55530446400 is an abundant number, since it is smaller than the sum of its proper divisors (187341508800).

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

55530446400 is a wasteful number, since it uses less digits than its factorization.

55530446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 55530446400 its reverse (464403555), we get a palindrome (55994849955).

The spelling of 55530446400 in words is "fifty-five billion, five hundred thirty million, four hundred forty-six thousand, four hundred".