26460368352 has 216 divisors, whose sum is σ = 87202998792. Its totient is φ = 7546368000.

The previous prime is 26460368287. The next prime is 26460368353. The reversal of 26460368352 is 25386306462.

It is a happy number.

26460368352 is a `hidden beast` number, since 2 + 6 + 4 + 603 + 6 + 8 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26460368298 and 26460368307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26460368353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 901102 + ... + 930002.

It is an arithmetic number, because the mean of its divisors is an integer number (403717587).

Almost surely, 2^26460368352 is an apocalyptic number.

26460368352 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 26460368352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43601499396).

26460368352 is an abundant number, since it is smaller than the sum of its proper divisors (60742630440).

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

26460368352 is a wasteful number, since it uses less digits than its factorization.

26460368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28962 (or 28934 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 26460368352 in words is "twenty-six billion, four hundred sixty million, three hundred sixty-eight thousand, three hundred fifty-two".