27872732760606 has 128 divisors (see below), whose sum is σ = 63867323520000. Its totient is φ = 9003771084672.

The previous prime is 27872732760583. The next prime is 27872732760683. The reversal of 27872732760606 is 60606723727872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876512695 + ... + 876544493.

It is an arithmetic number, because the mean of its divisors is an integer number (498963465000).

Almost surely, 2^{27872732760606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27872732760606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933661760000).

27872732760606 is an abundant number, since it is smaller than the sum of its proper divisors (35994590759394).

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

27872732760606 is a wasteful number, since it uses less digits than its factorization.

27872732760606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33583 (or 33577 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 27872732760606 in words is "twenty-seven trillion, eight hundred seventy-two billion, seven hundred thirty-two million, seven hundred sixty thousand, six hundred six".