26106803712 has 320 divisors, whose sum is σ = 89271072000. Its totient is φ = 7445053440.

The previous prime is 26106803711. The next prime is 26106803713. The reversal of 26106803712 is 21730860162.

26106803712 is a `hidden beast` number, since 2 + 610 + 6 + 8 + 0 + 37 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26106803711) and next prime (26106803713).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26106803711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580039 + ... + 2590137.

It is an arithmetic number, because the mean of its divisors is an integer number (278972100).

Almost surely, 2^26106803712 is an apocalyptic number.

26106803712 is a gapful number since it is divisible by the number (22) 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 26106803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44635536000).

26106803712 is an abundant number, since it is smaller than the sum of its proper divisors (63164268288).

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

26106803712 is a wasteful number, since it uses less digits than its factorization.

26106803712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26106803712 in words is "twenty-six billion, one hundred six million, eight hundred three thousand, seven hundred twelve".