26365986720 has 144 divisors (see below), whose sum is σ = 90513521280. Its totient is φ = 6988764672.

The previous prime is 26365986707. The next prime is 26365986721. The reversal of 26365986720 is 2768956362.

26365986720 is a `hidden beast` number, since 26 + 3 + 6 + 598 + 6 + 7 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26365986721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 185661 + ... + 295299.

It is an arithmetic number, because the mean of its divisors is an integer number (628566120).

Almost surely, 2^26365986720 is an apocalyptic number.

26365986720 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 26365986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45256760640).

26365986720 is an abundant number, since it is smaller than the sum of its proper divisors (64147534560).

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

26365986720 is a wasteful number, since it uses less digits than its factorization.

26365986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109827 (or 109816 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 26365986720 in words is "twenty-six billion, three hundred sixty-five million, nine hundred eighty-six thousand, seven hundred twenty".