5581687680 has 192 divisors, whose sum is σ = 19376042400. Its totient is φ = 1480593408.

The previous prime is 5581687663. The next prime is 5581687687. The reversal of 5581687680 is 867861855.

5581687680 is a `hidden beast` number, since 558 + 1 + 6 + 8 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-5 number, since 5×5581687680⁵ (a number of 50 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5581687687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132261 + ... + 1137179.

Almost surely, 2^5581687680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5581687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688021200).

5581687680 is an abundant number, since it is smaller than the sum of its proper divisors (13794354720).

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

5581687680 is a wasteful number, since it uses less digits than its factorization.

5581687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5581687680 is about 74710.6932105438. The cubic root of 5581687680 is about 1773.8702251838.

The spelling of 5581687680 in words is "five billion, five hundred eighty-one million, six hundred eighty-seven thousand, six hundred eighty".