26849241289728 has 1056 divisors, whose sum is σ = 95602053560832. Its totient is φ = 7418975846400.

The previous prime is 26849241289627. The next prime is 26849241289757. The reversal of 26849241289728 is 82798214294862.

26849241289728 is a `hidden beast` number, since 2 + 6 + 8 + 492 + 4 + 1 + 28 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2953382463 + ... + 2953391553.

Almost surely, 2^{26849241289728} 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 26849241289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47801026780416).

26849241289728 is an abundant number, since it is smaller than the sum of its proper divisors (68752812271104).

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

26849241289728 is a wasteful number, since it uses less digits than its factorization.

26849241289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9203 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 26849241289728 in words is "twenty-six trillion, eight hundred forty-nine billion, two hundred forty-one million, two hundred eighty-nine thousand, seven hundred twenty-eight".