26509608320 has 128 divisors (see below), whose sum is σ = 68704735680. Its totient is φ = 9722880000.

The previous prime is 26509608313. The next prime is 26509608353. The reversal of 26509608320 is 2380690562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245770 + ... + 1266870.

Almost surely, 2^26509608320 is an apocalyptic number.

26509608320 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 26509608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352367840).

26509608320 is an abundant number, since it is smaller than the sum of its proper divisors (42195127360).

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

26509608320 is a wasteful number, since it uses less digits than its factorization.

26509608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21284 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 26509608320 in words is "twenty-six billion, five hundred nine million, six hundred eight thousand, three hundred twenty".