27981525312 has 84 divisors (see below), whose sum is σ = 86373550900. Its totient is φ = 8609697792.

The previous prime is 27981525293. The next prime is 27981525323. The reversal of 27981525312 is 21352518972.

27981525312 is a `hidden beast` number, since 2 + 7 + 98 + 1 + 525 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18491648256 + 9489877056 = 135984^2 + 97416^2 .

It is a super-4 number, since 4×27981525312⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1860937 + ... + 1875912.

Almost surely, 2^27981525312 is an apocalyptic number.

It is an amenable number.

27981525312 is an abundant number, since it is smaller than the sum of its proper divisors (58392025588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27981525312 is a wasteful number, since it uses less digits than its factorization.

27981525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736880 (or 3736867 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 27981525312 in words is "twenty-seven billion, nine hundred eighty-one million, five hundred twenty-five thousand, three hundred twelve".