27159679266048 has 432 divisors, whose sum is σ = 91257514612992. Its totient is φ = 7608287232000.

The previous prime is 27159679266043. The next prime is 27159679266113. The reversal of 27159679266048 is 84066297695172.

27159679266048 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 9 + 6 + 7 + 9 + 2 + 6 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27159679266043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207195408 + ... + 207326448.

Almost surely, 2^{27159679266048} is an apocalyptic number.

27159679266048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27159679266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45628757306496).

27159679266048 is an abundant number, since it is smaller than the sum of its proper divisors (64097835346944).

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

27159679266048 is a wasteful number, since it uses less digits than its factorization.

27159679266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131322 (or 131305 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 27159679266048 in words is "twenty-seven trillion, one hundred fifty-nine billion, six hundred seventy-nine million, two hundred sixty-six thousand, forty-eight".