27832827575075 has 24 divisors (see below), whose sum is σ = 36595749798000. Its totient is φ = 20926153958400.

The previous prime is 27832827575071. The next prime is 27832827575089. The reversal of 27832827575075 is 57057572823872.

It is not a de Polignac number, because 27832827575075 - 2² = 27832827575071 is a prime.

It is a super-2 number, since 2×27832827575075² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27832827574996 and 27832827575014.

It is not an unprimeable number, because it can be changed into a prime (27832827575071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47093450 + ... + 47680799.

It is an arithmetic number, because the mean of its divisors is an integer number (1524822908250).

Almost surely, 2^{27832827575075} is an apocalyptic number.

27832827575075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27832827575075 is a deficient number, since it is larger than the sum of its proper divisors (8762922222925).

27832827575075 is a wasteful number, since it uses less digits than its factorization.

27832827575075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94774967 (or 94774962 counting only the distinct ones).

The product of its (nonzero) digits is 460992000, while the sum is 68.

The spelling of 27832827575075 in words is "twenty-seven trillion, eight hundred thirty-two billion, eight hundred twenty-seven million, five hundred seventy-five thousand, seventy-five".