27893485379761 has 12 divisors (see below), whose sum is σ = 29819527120348. Its totient is φ = 26085477480192.

The previous prime is 27893485379689. The next prime is 27893485379803. The reversal of 27893485379761 is 16797358439872.

It can be written as a sum of positive squares in 6 ways, for example, as 5478525390625 + 22414959989136 = 2340625^2 + 4734444^2 .

It is not a de Polignac number, because 27893485379761 - 2⁴³ = 19097392357553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27893485379261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307334406 + ... + 307425151.

Almost surely, 2^{27893485379761} is an apocalyptic number.

It is an amenable number.

27893485379761 is a deficient number, since it is larger than the sum of its proper divisors (1926041740587).

27893485379761 is a wasteful number, since it uses less digits than its factorization.

27893485379761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614759748 (or 614759731 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 79.

The spelling of 27893485379761 in words is "twenty-seven trillion, eight hundred ninety-three billion, four hundred eighty-five million, three hundred seventy-nine thousand, seven hundred sixty-one".