27982413517731 has 16 divisors (see below), whose sum is σ = 37355866679040. Its totient is φ = 18631957206240.

The previous prime is 27982413517711. The next prime is 27982413517771. The reversal of 27982413517731 is 13771531428972.

It is a happy number.

It is not a de Polignac number, because 27982413517731 - 2¹⁴ = 27982413501347 is a prime.

It is a super-2 number, since 2×27982413517731² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27982413517711) 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 15 ways as a sum of consecutive naturals, for example, 18491061 + ... + 19947033.

It is an arithmetic number, because the mean of its divisors is an integer number (2334741667440).

Almost surely, 2^{27982413517731} is an apocalyptic number.

27982413517731 is a deficient number, since it is larger than the sum of its proper divisors (9373453161309).

27982413517731 is a wasteful number, since it uses less digits than its factorization.

27982413517731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463866.

The product of its digits is 17781120, while the sum is 60.

The spelling of 27982413517731 in words is "twenty-seven trillion, nine hundred eighty-two billion, four hundred thirteen million, five hundred seventeen thousand, seven hundred thirty-one".