26431325636456 has 128 divisors (see below), whose sum is σ = 56659250753280. Its totient is φ = 11451281166336.

The previous prime is 26431325636411. The next prime is 26431325636479. The reversal of 26431325636456 is 65463652313462.

It is a happy number.

It is a super-2 number, since 2×26431325636456² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1071079190 + ... + 1071103866.

It is an arithmetic number, because the mean of its divisors is an integer number (442650396510).

Almost surely, 2^{26431325636456} is an apocalyptic number.

26431325636456 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 26431325636456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28329625376640).

26431325636456 is an abundant number, since it is smaller than the sum of its proper divisors (30227925116824).

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

26431325636456 is a wasteful number, since it uses less digits than its factorization.

26431325636456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26283 (or 26279 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 56.

The spelling of 26431325636456 in words is "twenty-six trillion, four hundred thirty-one billion, three hundred twenty-five million, six hundred thirty-six thousand, four hundred fifty-six".