26065085760 has 336 divisors, whose sum is σ = 102996406656. Its totient is φ = 5926588416.

The previous prime is 26065085701. The next prime is 26065085773. The reversal of 26065085760 is 6758056062.

26065085760 is a `hidden beast` number, since 26 + 0 + 6 + 50 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3968239 + ... + 3974801.

Almost surely, 2^26065085760 is an apocalyptic number.

26065085760 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 26065085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498203328).

26065085760 is an abundant number, since it is smaller than the sum of its proper divisors (76931320896).

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

26065085760 is a wasteful number, since it uses less digits than its factorization.

26065085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26065085760 in words is "twenty-six billion, sixty-five million, eighty-five thousand, seven hundred sixty".