5587512875000 has 560 divisors, whose sum is σ = 16120223346000. Its totient is φ = 1814891400000.

The previous prime is 5587512874897. The next prime is 5587512875033. The reversal of 5587512875000 is 5782157855.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×5587512875000³ (a number of 39 digits) contains 333 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 5587512875000 = 6270³ + 17480³ = 9975³ + 16625³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 294079624991 + ... + 294079625009.

Almost surely, 2^{5587512875000} is an apocalyptic number.

5587512875000 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 5587512875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060111673000).

5587512875000 is an abundant number, since it is smaller than the sum of its proper divisors (10532710471000).

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

5587512875000 is an frugal number, since it uses more digits than its factorization.

5587512875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3920000, while the sum is 53.

The spelling of 5587512875000 in words is "five trillion, five hundred eighty-seven billion, five hundred twelve million, eight hundred seventy-five thousand".