5587686807840 has 576 divisors, whose sum is σ = 20287759564800. Its totient is φ = 1396486490112.

The previous prime is 5587686807817. The next prime is 5587686807841. The reversal of 5587686807840 is 487086867855.

5587686807840 is a `hidden beast` number, since 558 + 7 + 6 + 8 + 68 + 0 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5587686807841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1316916759 + ... + 1316921001.

It is an arithmetic number, because the mean of its divisors is an integer number (35221804800).

Almost surely, 2^{5587686807840} 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 5587686807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143879782400).

5587686807840 is an abundant number, since it is smaller than the sum of its proper divisors (14700072756960).

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

5587686807840 is a wasteful number, since it uses less digits than its factorization.

5587686807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 5587686807840 in words is "five trillion, five hundred eighty-seven billion, six hundred eighty-six million, eight hundred seven thousand, eight hundred forty".