5556805800 has 768 divisors, whose sum is σ = 22665216000. Its totient is φ = 1117670400.

The previous prime is 5556805799. The next prime is 5556805801. The reversal of 5556805800 is 85086555.

It is an interprime number because it is at equal distance from previous prime (5556805799) and next prime (5556805801).

It is a super-3 number, since 3×5556805800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556805801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 82937367 + ... + 82937433.

It is an arithmetic number, because the mean of its divisors is an integer number (29512000).

Almost surely, 2^5556805800 is an apocalyptic number.

5556805800 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 5556805800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332608000).

5556805800 is an abundant number, since it is smaller than the sum of its proper divisors (17108410200).

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

5556805800 is a wasteful number, since it uses less digits than its factorization.

5556805800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The square root of 5556805800 is about 74543.9856728898. The cubic root of 5556805800 is about 1771.2304636365.

The spelling of 5556805800 in words is "five billion, five hundred fifty-six million, eight hundred five thousand, eight hundred".