26997681312 has 432 divisors, whose sum is σ = 94701133800. Its totient is φ = 7261470720.

The previous prime is 26997681311. The next prime is 26997681367. The reversal of 26997681312 is 21318679962.

26997681312 is a `hidden beast` number, since 269 + 9 + 7 + 68 + 1 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23914766736 + 3082914576 = 154644^2 + 55524^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26997681311) 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 71 ways as a sum of consecutive naturals, for example, 16778364 + ... + 16779972.

Almost surely, 2^26997681312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26997681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47350566900).

26997681312 is an abundant number, since it is smaller than the sum of its proper divisors (67703452488).

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

26997681312 is a wasteful number, since it uses less digits than its factorization.

26997681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1691 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 26997681312 in words is "twenty-six billion, nine hundred ninety-seven million, six hundred eighty-one thousand, three hundred twelve".