26466078400128 has 288 divisors, whose sum is σ = 81658564940160. Its totient is φ = 8225473437696.

The previous prime is 26466078400109. The next prime is 26466078400133. The reversal of 26466078400128 is 82100487066462.

It is a happy number.

26466078400128 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 607 + 8 + 4 + 0 + 0 + 1 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35251825 + ... + 35994767.

It is an arithmetic number, because the mean of its divisors is an integer number (283536683820).

Almost surely, 2^{26466078400128} 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 26466078400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40829282470080).

26466078400128 is an abundant number, since it is smaller than the sum of its proper divisors (55192486540032).

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

26466078400128 is a wasteful number, since it uses less digits than its factorization.

26466078400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743104 (or 743072 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 26466078400128 in words is "twenty-six trillion, four hundred sixty-six billion, seventy-eight million, four hundred thousand, one hundred twenty-eight".