5586672000 has 512 divisors, whose sum is σ = 22811443200. Its totient is φ = 1177804800.

The previous prime is 5586671941. The next prime is 5586672017. The reversal of 5586672000 is 2766855.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5586672000.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4367361 + ... + 4368639.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600).

Almost surely, 2^5586672000 is an apocalyptic number.

5586672000 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 5586672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405721600).

5586672000 is an abundant number, since it is smaller than the sum of its proper divisors (17224771200).

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

5586672000 is a wasteful number, since it uses less digits than its factorization.

5586672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 5586672000 is about 74744.0432409165. The cubic root of 5586672000 is about 1774.3980766682.

The spelling of 5586672000 in words is "five billion, five hundred eighty-six million, six hundred seventy-two thousand".