26126640001000 has 256 divisors, whose sum is σ = 76251190579200. Its totient is φ = 8140241952000.

The previous prime is 26126640000953. The next prime is 26126640001013. The reversal of 26126640001000 is 10004662162.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 26126640001000.

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 63 ways as a sum of consecutive naturals, for example, 204679197 + ... + 204806803.

It is an arithmetic number, because the mean of its divisors is an integer number (297856213200).

Almost surely, 2^{26126640001000} is an apocalyptic number.

26126640001000 is a gapful number since it is divisible by the number (20) 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 26126640001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38125595289600).

26126640001000 is an abundant number, since it is smaller than the sum of its proper divisors (50124550578200).

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

26126640001000 is a wasteful number, since it uses less digits than its factorization.

26126640001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130305 (or 130291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 26126640001000 its reverse (10004662162), we get a palindrome (26136644663162).

The spelling of 26126640001000 in words is "twenty-six trillion, one hundred twenty-six billion, six hundred forty million, one thousand".