26454751930368 has 864 divisors, whose sum is σ = 81126798971400. Its totient is φ = 8302645739520.

The previous prime is 26454751930349. The next prime is 26454751930489. The reversal of 26454751930368 is 86303915745462.

26454751930368 is a `hidden beast` number, since 2 + 6 + 4 + 54 + 7 + 519 + 3 + 0 + 3 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23444499170304 + 3010252760064 = 4841952^2 + 1735008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152917641130 + ... + 152917641302.

It is a 1-persistent number, because it is pandigital, but 2⋅26454751930368 = 52909503860736 is not.

Almost surely, 2^{26454751930368} 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 26454751930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40563399485700).

26454751930368 is an abundant number, since it is smaller than the sum of its proper divisors (54672047041032).

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

26454751930368 is a wasteful number, since it uses less digits than its factorization.

26454751930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 26454751930368 in words is "twenty-six trillion, four hundred fifty-four billion, seven hundred fifty-one million, nine hundred thirty thousand, three hundred sixty-eight".