26053210104768 has 448 divisors, whose sum is σ = 95507089290240. Its totient is φ = 6765916262400.

The previous prime is 26053210104707. The next prime is 26053210104833. The reversal of 26053210104768 is 86740101235062.

26053210104768 is a `hidden beast` number, since 2 + 6 + 0 + 532 + 1 + 0 + 10 + 47 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1014006930 + ... + 1014032622.

Almost surely, 2^{26053210104768} is an apocalyptic number.

26053210104768 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 26053210104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47753544645120).

26053210104768 is an abundant number, since it is smaller than the sum of its proper divisors (69453879185472).

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

26053210104768 is a wasteful number, since it uses less digits than its factorization.

26053210104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33353 (or 33337 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26053210104768 in words is "twenty-six trillion, fifty-three billion, two hundred ten million, one hundred four thousand, seven hundred sixty-eight".