26906631738912 has 288 divisors, whose sum is σ = 79954204861440. Its totient is φ = 8900599645440.

The previous prime is 26906631738853. The next prime is 26906631738919. The reversal of 26906631738912 is 21983713660962.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 26906631738912.

It is not an unprimeable number, because it can be changed into a prime (26906631738919) 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 47 ways as a sum of consecutive naturals, for example, 3915966837 + ... + 3915973707.

It is an arithmetic number, because the mean of its divisors is an integer number (277618766880).

Almost surely, 2^{26906631738912} 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 26906631738912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977102430720).

26906631738912 is an abundant number, since it is smaller than the sum of its proper divisors (53047573122528).

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

26906631738912 is a wasteful number, since it uses less digits than its factorization.

26906631738912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10638 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 26906631738912 in words is "twenty-six trillion, nine hundred six billion, six hundred thirty-one million, seven hundred thirty-eight thousand, nine hundred twelve".