26142130272 has 192 divisors, whose sum is σ = 72007004160. Its totient is φ = 8294092800.

The previous prime is 26142130271. The next prime is 26142130291. The reversal of 26142130272 is 27203124162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26142130271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112197868 + ... + 112198100.

It is an arithmetic number, because the mean of its divisors is an integer number (375036480).

Almost surely, 2^26142130272 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 26142130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36003502080).

26142130272 is an abundant number, since it is smaller than the sum of its proper divisors (45864873888).

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

26142130272 is a wasteful number, since it uses less digits than its factorization.

26142130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 26142130272 in words is "twenty-six billion, one hundred forty-two million, one hundred thirty thousand, two hundred seventy-two".