26941158401100 has 144 divisors (see below), whose sum is σ = 78084228539520. Its totient is φ = 7171918617600.

The previous prime is 26941158401063. The next prime is 26941158401237. The reversal of 26941158401100 is 110485114962.

It is a super-2 number, since 2×26941158401100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2117842740 + ... + 2117855460.

It is an arithmetic number, because the mean of its divisors is an integer number (542251587080).

Almost surely, 2^{26941158401100} is an apocalyptic number.

26941158401100 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 26941158401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39042114269760).

26941158401100 is an abundant number, since it is smaller than the sum of its proper divisors (51143070138420).

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

26941158401100 is a wasteful number, since it uses less digits than its factorization.

26941158401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24360 (or 24353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 26941158401100 in words is "twenty-six trillion, nine hundred forty-one billion, one hundred fifty-eight million, four hundred one thousand, one hundred".