26580354528 has 192 divisors, whose sum is σ = 86216417280. Its totient is φ = 6982336512.

The previous prime is 26580354523. The next prime is 26580354569. The reversal of 26580354528 is 82545308562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26580354523) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2239233 + ... + 2251071.

It is an arithmetic number, because the mean of its divisors is an integer number (449043840).

Almost surely, 2^26580354528 is an apocalyptic number.

26580354528 is a gapful number since it is divisible by the number (28) 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 26580354528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43108208640).

26580354528 is an abundant number, since it is smaller than the sum of its proper divisors (59636062752).

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

26580354528 is a wasteful number, since it uses less digits than its factorization.

26580354528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 26580354528 in words is "twenty-six billion, five hundred eighty million, three hundred fifty-four thousand, five hundred twenty-eight".