27985782229614 has 192 divisors, whose sum is σ = 69767993917440. Its totient is φ = 8024489256960.

The previous prime is 27985782229609. The next prime is 27985782229651. The reversal of 27985782229614 is 41692228758972.

27985782229614 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 578 + 22 + 29 + 6 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041163027 + ... + 1041189905.

It is an arithmetic number, because the mean of its divisors is an integer number (363374968320).

Almost surely, 2^{27985782229614} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27985782229614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34883996958720).

27985782229614 is an abundant number, since it is smaller than the sum of its proper divisors (41782211687826).

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

27985782229614 is a wasteful number, since it uses less digits than its factorization.

27985782229614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29375 (or 29372 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 27985782229614 in words is "twenty-seven trillion, nine hundred eighty-five billion, seven hundred eighty-two million, two hundred twenty-nine thousand, six hundred fourteen".