26711138016 has 120 divisors (see below), whose sum is σ = 78645027384. Its totient is φ = 8893704960.

The previous prime is 26711137993. The next prime is 26711138017. The reversal of 26711138016 is 61083111762.

26711138016 is a `hidden beast` number, since 267 + 1 + 1 + 1 + 380 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26711138017) 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 19 ways as a sum of consecutive naturals, for example, 2511526 + ... + 2522138.

Almost surely, 2^26711138016 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 26711138016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39322513692).

26711138016 is an abundant number, since it is smaller than the sum of its proper divisors (51933889368).

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

26711138016 is a wasteful number, since it uses less digits than its factorization.

26711138016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11606 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 26711138016 its reverse (61083111762), we get a palindrome (87794249778).

The spelling of 26711138016 in words is "twenty-six billion, seven hundred eleven million, one hundred thirty-eight thousand, sixteen".