26346954267216 has 720 divisors, whose sum is σ = 89135051241600. Its totient is φ = 7512620037120.

The previous prime is 26346954267119. The next prime is 26346954267289. The reversal of 26346954267216 is 61276245964362.

26346954267216 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 6 + 9 + 542 + 6 + 72 + 16 = 666.

It is a super-3 number, since 3×26346954267216³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5830259805 + ... + 5830264323.

It is an arithmetic number, because the mean of its divisors is an integer number (123798682280).

Almost surely, 2^{26346954267216} 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 26346954267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44567525620800).

26346954267216 is an abundant number, since it is smaller than the sum of its proper divisors (62788096974384).

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

26346954267216 is an equidigital number, since it uses as much as digits as its factorization.

26346954267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4552 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 26346954267216 in words is "twenty-six trillion, three hundred forty-six billion, nine hundred fifty-four million, two hundred sixty-seven thousand, two hundred sixteen".