27805229001 has 81 divisors (see below), whose sum is σ = 45897807501. Its totient is φ = 16208002800.

The previous prime is 27805228993. The next prime is 27805229009. The reversal of 27805229001 is 10092250872.

The square root of 27805229001 is 166749.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (27805228993) and next prime (27805229009).

It is not a de Polignac number, because 27805229001 - 2³ = 27805228993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27805229009) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 170584146 + ... + 170584308.

Almost surely, 2^27805229001 is an apocalyptic number.

27805229001 is the 166749-th square number.

27805229001 is the 83375-th centered octagonal number.

It is an amenable number.

27805229001 is a deficient number, since it is larger than the sum of its proper divisors (18092578500).

27805229001 is a wasteful number, since it uses less digits than its factorization.

27805229001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 27805229001 by its sum of digits (36), we get a square (1000988244036 = 1000494²).

Adding to 27805229001 its reverse (10092250872), we get a palindrome (37897479873).

The spelling of 27805229001 in words is "twenty-seven billion, eight hundred five million, two hundred twenty-nine thousand, one".