55055441317800 has 768 divisors, whose sum is σ = 224043160320000. Its totient is φ = 10835165491200.

The previous prime is 55055441317739. The next prime is 55055441317817. The reversal of 55055441317800 is 871314455055.

It is a super-2 number, since 2×55055441317800² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55055441317800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5467811166 + ... + 5467821234.

It is an arithmetic number, because the mean of its divisors is an integer number (291722865000).

Almost surely, 2^{55055441317800} is an apocalyptic number.

55055441317800 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 55055441317800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112021580160000).

55055441317800 is an abundant number, since it is smaller than the sum of its proper divisors (168987719002200).

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

55055441317800 is a wasteful number, since it uses less digits than its factorization.

55055441317800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354 (or 16345 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 55055441317800 in words is "fifty-five trillion, fifty-five billion, four hundred forty-one million, three hundred seventeen thousand, eight hundred".