27970984961631 has 24 divisors (see below), whose sum is σ = 40668826287024. Its totient is φ = 18524471397120.

The previous prime is 27970984961603. The next prime is 27970984961677. The reversal of 27970984961631 is 13616948907972.

27970984961631 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 0 + 98 + 496 + 16 + 31 = 666.

It is not a de Polignac number, because 27970984961631 - 2⁵ = 27970984961599 is a prime.

It is a super-2 number, since 2×27970984961631² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27970984961631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27970984961431) 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, 4248151 + ... + 8601671.

It is an arithmetic number, because the mean of its divisors is an integer number (1694534428626).

Almost surely, 2^{27970984961631} is an apocalyptic number.

27970984961631 is a deficient number, since it is larger than the sum of its proper divisors (12697841325393).

27970984961631 is a wasteful number, since it uses less digits than its factorization.

27970984961631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358231 (or 4358228 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 27970984961631 in words is "twenty-seven trillion, nine hundred seventy billion, nine hundred eighty-four million, nine hundred sixty-one thousand, six hundred thirty-one".