27381135075 has 72 divisors (see below), whose sum is σ = 52702287552. Its totient is φ = 12507324480.

The previous prime is 27381135031. The next prime is 27381135101. The reversal of 27381135075 is 57053118372.

It is a happy number.

It is not a de Polignac number, because 27381135075 - 2⁹ = 27381134563 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7006272 + ... + 7010178.

It is an arithmetic number, because the mean of its divisors is an integer number (731976216).

Almost surely, 2^27381135075 is an apocalyptic number.

27381135075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27381135075 is a deficient number, since it is larger than the sum of its proper divisors (25321152477).

27381135075 is a wasteful number, since it uses less digits than its factorization.

27381135075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 27381135075 in words is "twenty-seven billion, three hundred eighty-one million, one hundred thirty-five thousand, seventy-five".