26689251987072 has 192 divisors, whose sum is σ = 79651259775360. Its totient is φ = 8895783813120.

The previous prime is 26689251987071. The next prime is 26689251987103. The reversal of 26689251987072 is 27078915298662.

26689251987072 is a `hidden beast` number, since 26 + 6 + 8 + 9 + 2 + 519 + 87 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26689251987071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680255968 + ... + 680295200.

It is an arithmetic number, because the mean of its divisors is an integer number (414850311330).

Almost surely, 2^{26689251987072} 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 26689251987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39825629887680).

26689251987072 is an abundant number, since it is smaller than the sum of its proper divisors (52962007788288).

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

26689251987072 is an equidigital number, since it uses as much as digits as its factorization.

26689251987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61133 (or 61109 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 26689251987072 in words is "twenty-six trillion, six hundred eighty-nine billion, two hundred fifty-one million, nine hundred eighty-seven thousand, seventy-two".