27766339434260 has 96 divisors (see below), whose sum is σ = 66737103175680. Its totient is φ = 9505907280000.

The previous prime is 27766339434259. The next prime is 27766339434271. The reversal of 27766339434260 is 6243493366772.

It is a junction number, because it is equal to n+sod(n) for n = 27766339434193 and 27766339434202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063057481 + ... + 1063083599.

It is an arithmetic number, because the mean of its divisors is an integer number (695178158080).

Almost surely, 2^{27766339434260} is an apocalyptic number.

27766339434260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27766339434260 is an abundant number, since it is smaller than the sum of its proper divisors (38970763741420).

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

27766339434260 is a wasteful number, since it uses less digits than its factorization.

27766339434260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36997 (or 36995 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 62.

The spelling of 27766339434260 in words is "twenty-seven trillion, seven hundred sixty-six billion, three hundred thirty-nine million, four hundred thirty-four thousand, two hundred sixty".