26540130320 has 120 divisors (see below), whose sum is σ = 68284301400. Its totient is φ = 9585664000.

The previous prime is 26540130301. The next prime is 26540130359. The reversal of 26540130320 is 2303104562.

It can be written as a sum of positive squares in 4 ways, for example, as 165071104 + 26375059216 = 12848^2 + 162404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26540130320.

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 23 ways as a sum of consecutive naturals, for example, 1433120 + ... + 1451520.

It is an arithmetic number, because the mean of its divisors is an integer number (569035845).

Almost surely, 2^26540130320 is an apocalyptic number.

26540130320 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 26540130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34142150700).

26540130320 is an abundant number, since it is smaller than the sum of its proper divisors (41744171080).

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

26540130320 is a wasteful number, since it uses less digits than its factorization.

26540130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18585 (or 18568 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 26540130320 its reverse (2303104562), we get a palindrome (28843234882).

The spelling of 26540130320 in words is "twenty-six billion, five hundred forty million, one hundred thirty thousand, three hundred twenty".