26065138752 has 336 divisors, whose sum is σ = 86158425600. Its totient is φ = 7478231040.

The previous prime is 26065138747. The next prime is 26065138789. The reversal of 26065138752 is 25783156062.

26065138752 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 513 + 87 + 52 = 666.

It is a super-2 number, since 2×26065138752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26065138698 and 26065138707.

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, 5392977 + ... + 5397807.

Almost surely, 2^26065138752 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 26065138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43079212800).

26065138752 is an abundant number, since it is smaller than the sum of its proper divisors (60093286848).

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

26065138752 is a wasteful number, since it uses less digits than its factorization.

26065138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4901 counting only the distinct ones).

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

The spelling of 26065138752 in words is "twenty-six billion, sixty-five million, one hundred thirty-eight thousand, seven hundred fifty-two".