26143246112256 has 1920 divisors, whose sum is σ = 99903965736960. Its totient is φ = 6687935299584.

The previous prime is 26143246112237. The next prime is 26143246112257. The reversal of 26143246112256 is 65221164234162.

It is a happy number.

26143246112256 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 3 + 2 + 4 + 611 + 2 + 25 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26143246112257) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 43069597905 + ... + 43069598511.

It is an arithmetic number, because the mean of its divisors is an integer number (52033315488).

Almost surely, 2^{26143246112256} is an apocalyptic number.

26143246112256 is a gapful number since it is divisible by the number (26) 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 26143246112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49951982868480).

26143246112256 is an abundant number, since it is smaller than the sum of its proper divisors (73760719624704).

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

26143246112256 is a wasteful number, since it uses less digits than its factorization.

26143246112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 772 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 26143246112256 in words is "twenty-six trillion, one hundred forty-three billion, two hundred forty-six million, one hundred twelve thousand, two hundred fifty-six".