27071148384 has 108 divisors (see below), whose sum is σ = 89552372364. Its totient is φ = 7734609792.

The previous prime is 27071148361. The next prime is 27071148437. The reversal of 27071148384 is 48384117072.

27071148384 is a `hidden beast` number, since 27 + 0 + 71 + 1 + 483 + 84 = 666.

It is a super-2 number, since 2×27071148384² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 945042 + ... + 973265.

It is an arithmetic number, because the mean of its divisors is an integer number (829188633).

Almost surely, 2^27071148384 is an apocalyptic number.

27071148384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27071148384 is an abundant number, since it is smaller than the sum of its proper divisors (62481223980).

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

27071148384 is a wasteful number, since it uses less digits than its factorization.

27071148384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918337 (or 1918319 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 27071148384 in words is "twenty-seven billion, seventy-one million, one hundred forty-eight thousand, three hundred eighty-four".