26341056000 has 960 divisors, whose sum is σ = 111532861440. Its totient is φ = 5850316800.

The previous prime is 26341055957. The next prime is 26341056029. The reversal of 26341056000 is 65014362.

26341056000 is a `hidden beast` number, since 2 + 63 + 41 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189503931 + ... + 189504069.

It is an arithmetic number, because the mean of its divisors is an integer number (116180064).

Almost surely, 2^26341056000 is an apocalyptic number.

26341056000 is a gapful number since it is divisible by the number (20) 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 26341056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55766430720).

26341056000 is an abundant number, since it is smaller than the sum of its proper divisors (85191805440).

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

26341056000 is a wasteful number, since it uses less digits than its factorization.

26341056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 26341056000 in words is "twenty-six billion, three hundred forty-one million, fifty-six thousand".