26230316894208 has 1920 divisors, whose sum is σ = 97814042726400. Its totient is φ = 6836708966400.

The previous prime is 26230316894179. The next prime is 26230316894209. The reversal of 26230316894208 is 80249861303262.

26230316894208 is a `hidden beast` number, since 2 + 6 + 2 + 30 + 316 + 8 + 94 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26230316894209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96790837113 + ... + 96790837383.

It is an arithmetic number, because the mean of its divisors is an integer number (50944813920).

Almost surely, 2^{26230316894208} is an apocalyptic number.

26230316894208 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 26230316894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48907021363200).

26230316894208 is an abundant number, since it is smaller than the sum of its proper divisors (71583725832192).

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

26230316894208 is a wasteful number, since it uses less digits than its factorization.

26230316894208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 26230316894208 in words is "twenty-six trillion, two hundred thirty billion, three hundred sixteen million, eight hundred ninety-four thousand, two hundred eight".