26848535454720 has 1056 divisors, whose sum is σ = 107271436047360. Its totient is φ = 6082091089920.

The previous prime is 26848535454623. The next prime is 26848535454743. The reversal of 26848535454720 is 2745453584862.

26848535454720 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 85 + 3 + 5 + 4 + 547 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36330900111 + ... + 36330900849.

Almost surely, 2^{26848535454720} is an apocalyptic number.

26848535454720 is a gapful number since it is divisible by the number (20) 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 26848535454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53635718023680).

26848535454720 is an abundant number, since it is smaller than the sum of its proper divisors (80422900592640).

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

26848535454720 is a wasteful number, since it uses less digits than its factorization.

26848535454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 63.

The spelling of 26848535454720 in words is "twenty-six trillion, eight hundred forty-eight billion, five hundred thirty-five million, four hundred fifty-four thousand, seven hundred twenty".