26314473376128 has 384 divisors, whose sum is σ = 82192541598720. Its totient is φ = 7302832128000.

The previous prime is 26314473376073. The next prime is 26314473376129. The reversal of 26314473376128 is 82167337441362.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26314473376129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6400988793 + ... + 6400992903.

It is an arithmetic number, because the mean of its divisors is an integer number (214043077080).

Almost surely, 2^{26314473376128} is an apocalyptic number.

26314473376128 is a gapful number since it is divisible by the number (28) 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 26314473376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41096270799360).

26314473376128 is an abundant number, since it is smaller than the sum of its proper divisors (55878068222592).

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

26314473376128 is an equidigital number, since it uses as much as digits as its factorization.

26314473376128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4658 (or 4405 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 26314473376128 in words is "twenty-six trillion, three hundred fourteen billion, four hundred seventy-three million, three hundred seventy-six thousand, one hundred twenty-eight".