5587870510080 has 440 divisors, whose sum is σ = 20036574475632. Its totient is φ = 1489146052608.

The previous prime is 5587870510073. The next prime is 5587870510109. The reversal of 5587870510080 is 800150787855.

5587870510080 is a `hidden beast` number, since 5 + 58 + 7 + 8 + 70 + 510 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5587870509999 and 5587870510026.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 851416879 + ... + 851423441.

Almost surely, 2^{5587870510080} 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 5587870510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018287237816).

5587870510080 is an abundant number, since it is smaller than the sum of its proper divisors (14448703965552).

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

5587870510080 is a wasteful number, since it uses less digits than its factorization.

5587870510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 54.

The spelling of 5587870510080 in words is "five trillion, five hundred eighty-seven billion, eight hundred seventy million, five hundred ten thousand, eighty".