27782618806060 has 48 divisors (see below), whose sum is σ = 60502912898400. Its totient is φ = 10703604570624.

The previous prime is 27782618806057. The next prime is 27782618806087. The reversal of 27782618806060 is 6060881628772.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27782618806060.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58321542 + ... + 58795981.

It is an arithmetic number, because the mean of its divisors is an integer number (1260477352050).

Almost surely, 2^{27782618806060} is an apocalyptic number.

27782618806060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27782618806060 is an abundant number, since it is smaller than the sum of its proper divisors (32720294092340).

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

27782618806060 is a wasteful number, since it uses less digits than its factorization.

27782618806060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117117970 (or 117117968 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 61.

The spelling of 27782618806060 in words is "twenty-seven trillion, seven hundred eighty-two billion, six hundred eighteen million, eight hundred six thousand, sixty".