6585272725856 has 72 divisors (see below), whose sum is σ = 14870104450992. Its totient is φ = 2863162016000.

The previous prime is 6585272725847. The next prime is 6585272725883.

6585272725856 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36883595 + ... + 37061706.

It is an arithmetic number, because the mean of its divisors is an integer number (206529228486).

Almost surely, 2^{6585272725856} is an apocalyptic number.

It is an amenable number.

6585272725856 is an abundant number, since it is smaller than the sum of its proper divisors (8284831725136).

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

6585272725856 is a wasteful number, since it uses less digits than its factorization.

6585272725856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73945356 (or 73945337 counting only the distinct ones).

The product of its digits is 564480000, while the sum is 68.

The spelling of 6585272725856 in words is "six trillion, five hundred eighty-five billion, two hundred seventy-two million, seven hundred twenty-five thousand, eight hundred fifty-six".