5587660800 has 624 divisors, whose sum is σ = 21451246080. Its totient is φ = 1424424960.

The previous prime is 5587660789. The next prime is 5587660801. The reversal of 5587660800 is 80667855.

5587660800 is a `hidden beast` number, since 5 + 587 + 6 + 60 + 8 + 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 (5587660801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118886377 + ... + 118886423.

Almost surely, 2^5587660800 is an apocalyptic number.

5587660800 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 5587660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725623040).

5587660800 is an abundant number, since it is smaller than the sum of its proper divisors (15863585280).

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

5587660800 is a wasteful number, since it uses less digits than its factorization.

5587660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5587660800 is about 74750.6575221917. The cubic root of 5587660800 is about 1774.5027556444.

The spelling of 5587660800 in words is "five billion, five hundred eighty-seven million, six hundred sixty thousand, eight hundred".