27903016680075 has 36 divisors (see below), whose sum is σ = 51259127200680. Its totient is φ = 14881535701920.

The previous prime is 27903016680047. The next prime is 27903016680157. The reversal of 27903016680075 is 57008661030972.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27903016680075 is a `hidden beast` number, since 279 + 0 + 301 + 6 + 68 + 0 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 27903016680075 - 2²² = 27903012485771 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137137317 + ... + 137340633.

Almost surely, 2^{27903016680075} is an apocalyptic number.

27903016680075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27903016680075 is a deficient number, since it is larger than the sum of its proper divisors (23356110520605).

27903016680075 is an frugal number, since it uses more digits than its factorization.

27903016680075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406653 (or 203325 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 27903016680075 in words is "twenty-seven trillion, nine hundred three billion, sixteen million, six hundred eighty thousand, seventy-five".