55509199200 has 1620 divisors, whose sum is σ = 260279395740. Its totient is φ = 11095418880.

The previous prime is 55509199117. The next prime is 55509199201. The reversal of 55509199200 is 299190555.

55509199200 is a `hidden beast` number, since 5 + 550 + 9 + 1 + 9 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55509199201) 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 269 ways as a sum of consecutive naturals, for example, 2921536791 + ... + 2921536809.

Almost surely, 2^55509199200 is an apocalyptic number.

55509199200 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 55509199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130139697870).

55509199200 is an abundant number, since it is smaller than the sum of its proper divisors (204770196540).

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

55509199200 is a wasteful number, since it uses less digits than its factorization.

55509199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The spelling of 55509199200 in words is "fifty-five billion, five hundred nine million, one hundred ninety-nine thousand, two hundred".