26035312512 has 384 divisors, whose sum is σ = 79221098880. Its totient is φ = 7564677120.

The previous prime is 26035312487. The next prime is 26035312519. The reversal of 26035312512 is 21521353062.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 26035312512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26035312519) by changing a digit.

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, 165829938 + ... + 165830094.

It is an arithmetic number, because the mean of its divisors is an integer number (206304945).

Almost surely, 2^26035312512 is an apocalyptic number.

26035312512 is a gapful number since it is divisible by the number (22) 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 26035312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39610549440).

26035312512 is an abundant number, since it is smaller than the sum of its proper divisors (53185786368).

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

26035312512 is a wasteful number, since it uses less digits than its factorization.

26035312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 26035312512 its reverse (21521353062), we get a palindrome (47556665574).

The spelling of 26035312512 in words is "twenty-six billion, thirty-five million, three hundred twelve thousand, five hundred twelve".