26857264749504 has 336 divisors, whose sum is σ = 87361510702080. Its totient is φ = 7130694205440.

The previous prime is 26857264749479. The next prime is 26857264749517. The reversal of 26857264749504 is 40594746275862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30247234 + ... + 31122494.

Almost surely, 2^{26857264749504} is an apocalyptic number.

26857264749504 is a gapful number since it is divisible by the number (24) 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 26857264749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680755351040).

26857264749504 is an abundant number, since it is smaller than the sum of its proper divisors (60504245952576).

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

26857264749504 is a wasteful number, since it uses less digits than its factorization.

26857264749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875396 (or 875369 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 69.

The spelling of 26857264749504 in words is "twenty-six trillion, eight hundred fifty-seven billion, two hundred sixty-four million, seven hundred forty-nine thousand, five hundred four".