26740424426016 has 576 divisors, whose sum is σ = 85834912343040. Its totient is φ = 7138753689600.

The previous prime is 26740424425999. The next prime is 26740424426017. The reversal of 26740424426016 is 61062442404762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26740424426017) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5294082691 + ... + 5294087741.

It is an arithmetic number, because the mean of its divisors is an integer number (149018945040).

Almost surely, 2^{26740424426016} 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 26740424426016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42917456171520).

26740424426016 is an abundant number, since it is smaller than the sum of its proper divisors (59094487917024).

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

26740424426016 is a wasteful number, since it uses less digits than its factorization.

26740424426016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 26740424426016 in words is "twenty-six trillion, seven hundred forty billion, four hundred twenty-four million, four hundred twenty-six thousand, sixteen".