27121138575 has 48 divisors (see below), whose sum is σ = 46837240320. Its totient is φ = 13830122880.

The previous prime is 27121138567. The next prime is 27121138591. The reversal of 27121138575 is 57583112172.

It is not a de Polignac number, because 27121138575 - 2³ = 27121138567 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 163494 + ... + 284556.

It is an arithmetic number, because the mean of its divisors is an integer number (975775840).

Almost surely, 2^27121138575 is an apocalyptic number.

27121138575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27121138575 is a deficient number, since it is larger than the sum of its proper divisors (19716101745).

27121138575 is a wasteful number, since it uses less digits than its factorization.

27121138575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121208 (or 121203 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The spelling of 27121138575 in words is "twenty-seven billion, one hundred twenty-one million, one hundred thirty-eight thousand, five hundred seventy-five".