26089350400 has 108 divisors (see below), whose sum is σ = 65216193084. Its totient is φ = 10332160000.

The previous prime is 26089350323. The next prime is 26089350403. The reversal of 26089350400 is 405398062.

It can be written as a sum of positive squares in 6 ways, for example, as 4917936384 + 21171414016 = 70128^2 + 145504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26089350400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26089350403) 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 11 ways as a sum of consecutive naturals, for example, 626220 + ... + 666580.

Almost surely, 2^26089350400 is an apocalyptic number.

26089350400 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 26089350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32608096542).

26089350400 is an abundant number, since it is smaller than the sum of its proper divisors (39126842684).

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

26089350400 is a wasteful number, since it uses less digits than its factorization.

26089350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40488 (or 40469 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 26089350400 in words is "twenty-six billion, eighty-nine million, three hundred fifty thousand, four hundred".