27498120822801 has 20 divisors (see below), whose sum is σ = 41077844059824. Its totient is φ = 18331900111800.

The previous prime is 27498120822743. The next prime is 27498120822839. The reversal of 27498120822801 is 10822802189472.

It is a happy number.

27498120822801 is a `hidden beast` number, since 2 + 7 + 498 + 120 + 8 + 2 + 28 + 0 + 1 = 666.

It is not a de Polignac number, because 27498120822801 - 2²³ = 27498112434193 is a prime.

It is a super-2 number, since 2×27498120822801² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27498120822871) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6877906 + ... + 10114436.

Almost surely, 2^{27498120822801} is an apocalyptic number.

It is an amenable number.

27498120822801 is a deficient number, since it is larger than the sum of its proper divisors (13579723237023).

27498120822801 is a wasteful number, since it uses less digits than its factorization.

27498120822801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341434 (or 3341425 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 27498120822801 in words is "twenty-seven trillion, four hundred ninety-eight billion, one hundred twenty million, eight hundred twenty-two thousand, eight hundred one".