26343950126112 has 288 divisors, whose sum is σ = 80029331665920. Its totient is φ = 8195805918720.

The previous prime is 26343950126111. The next prime is 26343950126159. The reversal of 26343950126112 is 21162105934362.

26343950126112 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 3 + 9 + 501 + 26 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (26343950126111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531071103 + ... + 531120705.

It is an arithmetic number, because the mean of its divisors is an integer number (277879623840).

Almost surely, 2^{26343950126112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26343950126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40014665832960).

26343950126112 is an abundant number, since it is smaller than the sum of its proper divisors (53685381539808).

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

26343950126112 is a wasteful number, since it uses less digits than its factorization.

26343950126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51076 (or 51065 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26343950126112 in words is "twenty-six trillion, three hundred forty-three billion, nine hundred fifty million, one hundred twenty-six thousand, one hundred twelve".