26987136768 has 252 divisors, whose sum is σ = 82759704048. Its totient is φ = 8773816320.

The previous prime is 26987136751. The next prime is 26987136791. The reversal of 26987136768 is 86763178962.

26987136768 is a `hidden beast` number, since 269 + 8 + 7 + 1 + 367 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7649821 + ... + 7653347.

It is an arithmetic number, because the mean of its divisors is an integer number (328411524).

Almost surely, 2^26987136768 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 26987136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41379852024).

26987136768 is an abundant number, since it is smaller than the sum of its proper divisors (55772567280).

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

26987136768 is an frugal number, since it uses more digits than its factorization.

26987136768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3573 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 26987136768 in words is "twenty-six billion, nine hundred eighty-seven million, one hundred thirty-six thousand, seven hundred sixty-eight".