5589955800 has 960 divisors, whose sum is σ = 24198451200. Its totient is φ = 1175731200.

The previous prime is 5589955771. The next prime is 5589955807. The reversal of 5589955800 is 85599855.

5589955800 is a `hidden beast` number, since 5 + 5 + 89 + 9 + 558 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5589955807) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 44015337 + ... + 44015463.

It is an arithmetic number, because the mean of its divisors is an integer number (25206720).

Almost surely, 2^5589955800 is an apocalyptic number.

5589955800 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 5589955800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12099225600).

5589955800 is an abundant number, since it is smaller than the sum of its proper divisors (18608495400).

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

5589955800 is a wasteful number, since it uses less digits than its factorization.

5589955800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 54.

The square root of 5589955800 is about 74766.0069817828. The cubic root of 5589955800 is about 1774.7456674542.

The spelling of 5589955800 in words is "five billion, five hundred eighty-nine million, nine hundred fifty-five thousand, eight hundred".