26387305168896 has 1280 divisors, whose sum is σ = 92958316830720. Its totient is φ = 7303955742720.

The previous prime is 26387305168837. The next prime is 26387305168967. The reversal of 26387305168896 is 69886150378362.

It is a happy number.

26387305168896 is a `hidden beast` number, since 2 + 6 + 3 + 87 + 305 + 168 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125058318231 + ... + 125058318441.

It is an arithmetic number, because the mean of its divisors is an integer number (72623685024).

Almost surely, 2^{26387305168896} 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 26387305168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46479158415360).

26387305168896 is an abundant number, since it is smaller than the sum of its proper divisors (66571011661824).

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

26387305168896 is an equidigital number, since it uses as much as digits as its factorization.

26387305168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 26387305168896 in words is "twenty-six trillion, three hundred eighty-seven billion, three hundred five million, one hundred sixty-eight thousand, eight hundred ninety-six".