26305209216 has 1024 divisors, whose sum is σ = 100677427200. Its totient is φ = 6635520000.

The previous prime is 26305209211. The next prime is 26305209223. The reversal of 26305209216 is 61290250362.

26305209216 is a `hidden beast` number, since 2 + 6 + 30 + 520 + 92 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26305209211) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 260447566 + ... + 260447666.

It is an arithmetic number, because the mean of its divisors is an integer number (98317800).

Almost surely, 2^26305209216 is an apocalyptic number.

26305209216 is a gapful number since it is divisible by the number (26) 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 26305209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50338713600).

26305209216 is an abundant number, since it is smaller than the sum of its proper divisors (74372217984).

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

26305209216 is a wasteful number, since it uses less digits than its factorization.

26305209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 26305209216 its reverse (61290250362), we get a palindrome (87595459578).

The spelling of 26305209216 in words is "twenty-six billion, three hundred five million, two hundred nine thousand, two hundred sixteen".