26105872140 has 144 divisors (see below), whose sum is σ = 81273943296. Its totient is φ = 6780547200.

The previous prime is 26105872097. The next prime is 26105872217. The reversal of 26105872140 is 4127850162.

26105872140 is a `hidden beast` number, since 2 + 6 + 10 + 587 + 21 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26105872095 and 26105872104.

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, 1048435 + ... + 1073045.

It is an arithmetic number, because the mean of its divisors is an integer number (564402384).

Almost surely, 2^26105872140 is an apocalyptic number.

26105872140 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 26105872140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40636971648).

26105872140 is an abundant number, since it is smaller than the sum of its proper divisors (55168071156).

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

26105872140 is a wasteful number, since it uses less digits than its factorization.

26105872140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24780 (or 24775 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 26105872140 in words is "twenty-six billion, one hundred five million, eight hundred seventy-two thousand, one hundred forty".