26142242112 has 168 divisors, whose sum is σ = 86007220416. Its totient is φ = 7436888064.

The previous prime is 26142242111. The next prime is 26142242131. The reversal of 26142242112 is 21124224162.

It is a happy number.

26142242112 is a `hidden beast` number, since 2 + 614 + 2 + 2 + 42 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26142242111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925543 + ... + 953369.

Almost surely, 2^26142242112 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 26142242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003610208).

26142242112 is an abundant number, since it is smaller than the sum of its proper divisors (59864978304).

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

26142242112 is a wasteful number, since it uses less digits than its factorization.

26142242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28085 (or 28072 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 26142242112 its reverse (21124224162), we get a palindrome (47266466274).

The spelling of 26142242112 in words is "twenty-six billion, one hundred forty-two million, two hundred forty-two thousand, one hundred twelve".