26941365856000 has 576 divisors, whose sum is σ = 72445390617600. Its totient is φ = 9950459904000.

The previous prime is 26941365855857. The next prime is 26941365856007. The reversal of 26941365856000 is 65856314962.

It is a super-2 number, since 2×26941365856000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26941365856007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17281183221 + ... + 17281184779.

It is an arithmetic number, because the mean of its divisors is an integer number (125773247600).

Almost surely, 2^{26941365856000} is an apocalyptic number.

26941365856000 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 26941365856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36222695308800).

26941365856000 is an abundant number, since it is smaller than the sum of its proper divisors (45504024761600).

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

26941365856000 is a wasteful number, since it uses less digits than its factorization.

26941365856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 26941365856000 in words is "twenty-six trillion, nine hundred forty-one billion, three hundred sixty-five million, eight hundred fifty-six thousand".