27625652672 has 56 divisors (see below), whose sum is σ = 55910817312. Its totient is φ = 13539456000.

The previous prime is 27625652669. The next prime is 27625652693.

27625652672 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27625652672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131797 + ... + 1155947.

It is an arithmetic number, because the mean of its divisors is an integer number (998407452).

Almost surely, 2^27625652672 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 27625652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27955408656).

27625652672 is an abundant number, since it is smaller than the sum of its proper divisors (28285164640).

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

27625652672 is a wasteful number, since it uses less digits than its factorization.

27625652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24517 (or 24507 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 50.

The spelling of 27625652672 in words is "twenty-seven billion, six hundred twenty-five million, six hundred fifty-two thousand, six hundred seventy-two".