6587587512864 has 144 divisors (see below), whose sum is σ = 19721597575680. Its totient is φ = 2080061406720.

The previous prime is 6587587512817. The next prime is 6587587512887. The reversal of 6587587512864 is 4682157857856.

6587587512864 is a `hidden beast` number, since 6 + 58 + 7 + 58 + 7 + 512 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 6587587512792 and 6587587512801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53514874 + ... + 53637830.

It is an arithmetic number, because the mean of its divisors is an integer number (136955538720).

Almost surely, 2^{6587587512864} 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 6587587512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860798787840).

6587587512864 is an abundant number, since it is smaller than the sum of its proper divisors (13134010062816).

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

6587587512864 is a wasteful number, since it uses less digits than its factorization.

6587587512864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132783 (or 132772 counting only the distinct ones).

The product of its digits is 903168000, while the sum is 72.

The spelling of 6587587512864 in words is "six trillion, five hundred eighty-seven billion, five hundred eighty-seven million, five hundred twelve thousand, eight hundred sixty-four".