26545452768 has 144 divisors (see below), whose sum is σ = 78073946496. Its totient is φ = 8546549760.

The previous prime is 26545452761. The next prime is 26545452781. The reversal of 26545452768 is 86725454562.

26545452768 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 54 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26545452768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26545452761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5148880 + ... + 5154032.

It is an arithmetic number, because the mean of its divisors is an integer number (542180184).

Almost surely, 2^26545452768 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 26545452768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39036973248).

26545452768 is an abundant number, since it is smaller than the sum of its proper divisors (51528493728).

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

26545452768 is a wasteful number, since it uses less digits than its factorization.

26545452768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5766 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 26545452768 in words is "twenty-six billion, five hundred forty-five million, four hundred fifty-two thousand, seven hundred sixty-eight".