26986743168 has 512 divisors, whose sum is σ = 92830510080. Its totient is φ = 6743654400.

The previous prime is 26986743139. The next prime is 26986743187. The reversal of 26986743168 is 86134768962.

It is a super-3 number, since 3×26986743168³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136988446 + ... + 136988642.

It is an arithmetic number, because the mean of its divisors is an integer number (181309590).

Almost surely, 2^26986743168 is an apocalyptic number.

26986743168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26986743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46415255040).

26986743168 is an abundant number, since it is smaller than the sum of its proper divisors (65843766912).

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

26986743168 is a wasteful number, since it uses less digits than its factorization.

26986743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The spelling of 26986743168 in words is "twenty-six billion, nine hundred eighty-six million, seven hundred forty-three thousand, one hundred sixty-eight".