26080890624 has 504 divisors, whose sum is σ = 83108222400. Its totient is φ = 8151736320.

The previous prime is 26080890623. The next prime is 26080890631. The reversal of 26080890624 is 42609808062.

It is a super-3 number, since 3×26080890624³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26080890624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26080890623) 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 55 ways as a sum of consecutive naturals, for example, 330137817 + ... + 330137895.

Almost surely, 2^26080890624 is an apocalyptic number.

26080890624 is a gapful number since it is divisible by the number (24) 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 26080890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41554111200).

26080890624 is an abundant number, since it is smaller than the sum of its proper divisors (57027331776).

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

26080890624 is an frugal number, since it uses more digits than its factorization.

26080890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26080890624 in words is "twenty-six billion, eighty million, eight hundred ninety thousand, six hundred twenty-four".