27617394771968 has 96 divisors (see below), whose sum is σ = 55577508648480. Its totient is φ = 13719879843840.

The previous prime is 27617394771919. The next prime is 27617394771991. The reversal of 27617394771968 is 86917749371672.

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, 222782963 + ... + 222906893.

It is an arithmetic number, because the mean of its divisors is an integer number (578932381755).

Almost surely, 2^{27617394771968} 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 27617394771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27788754324240).

27617394771968 is an abundant number, since it is smaller than the sum of its proper divisors (27960113876512).

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

27617394771968 is a wasteful number, since it uses less digits than its factorization.

27617394771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124653 (or 124633 counting only the distinct ones).

The product of its digits is 1344252672, while the sum is 77.

The spelling of 27617394771968 in words is "twenty-seven trillion, six hundred seventeen billion, three hundred ninety-four million, seven hundred seventy-one thousand, nine hundred sixty-eight".