5581987732800 has 420 divisors, whose sum is σ = 20527060158396. Its totient is φ = 1487871590400.

The previous prime is 5581987732747. The next prime is 5581987732819. The reversal of 5581987732800 is 82377891855.

5581987732800 is a `hidden beast` number, since 5 + 58 + 198 + 77 + 328 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 738678367296 + 4843309365504 = 859464^2 + 2200752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 339673384 + ... + 339689816.

Almost surely, 2^{5581987732800} is an apocalyptic number.

5581987732800 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 5581987732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10263530079198).

5581987732800 is an abundant number, since it is smaller than the sum of its proper divisors (14945072425596).

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

5581987732800 is a wasteful number, since it uses less digits than its factorization.

5581987732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19088 (or 19064 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 5581987732800 in words is "five trillion, five hundred eighty-one billion, nine hundred eighty-seven million, seven hundred thirty-two thousand, eight hundred".