27148877878689 has 16 divisors (see below), whose sum is σ = 45966354080640. Its totient is φ = 15513644502000.

The previous prime is 27148877878687. The next prime is 27148877878691. The reversal of 27148877878689 is 98687877884172.

27148877878689 is a `hidden beast` number, since 271 + 48 + 8 + 77 + 87 + 86 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (27148877878687) and next prime (27148877878691).

It is not a de Polignac number, because 27148877878689 - 2¹ = 27148877878687 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27148877878599 and 27148877878608.

It is not an unprimeable number, because it can be changed into a prime (27148877878687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71822428062 + ... + 71822428439.

It is an arithmetic number, because the mean of its divisors is an integer number (2872897130040).

Almost surely, 2^{27148877878689} is an apocalyptic number.

It is an amenable number.

27148877878689 is a deficient number, since it is larger than the sum of its proper divisors (18817476201951).

27148877878689 is a wasteful number, since it uses less digits than its factorization.

27148877878689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143644856517 (or 143644856511 counting only the distinct ones).

The product of its digits is 33988018176, while the sum is 90.

The spelling of 27148877878689 in words is "twenty-seven trillion, one hundred forty-eight billion, eight hundred seventy-seven million, eight hundred seventy-eight thousand, six hundred eighty-nine".