26116105653 has 24 divisors (see below), whose sum is σ = 43573398336. Its totient is φ = 14896886400.

The previous prime is 26116105633. The next prime is 26116105657. The reversal of 26116105653 is 35650161162.

26116105653 is a `hidden beast` number, since 26 + 11 + 61 + 0 + 565 + 3 = 666.

It is not a de Polignac number, because 26116105653 - 2¹⁷ = 26115974581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26116105657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7757113 + ... + 7760478.

It is an arithmetic number, because the mean of its divisors is an integer number (1815558264).

Almost surely, 2^26116105653 is an apocalyptic number.

It is an amenable number.

26116105653 is a deficient number, since it is larger than the sum of its proper divisors (17457292683).

26116105653 is a wasteful number, since it uses less digits than its factorization.

26116105653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517625 (or 15517622 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 26116 and 105653, that added together give a square (131769 = 363²).

The spelling of 26116105653 in words is "twenty-six billion, one hundred sixteen million, one hundred five thousand, six hundred fifty-three".