26083482880 has 288 divisors, whose sum is σ = 78177996288. Its totient is φ = 8117452800.

The previous prime is 26083482877. The next prime is 26083482881. The reversal of 26083482880 is 8828438062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26083482881) 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 31 ways as a sum of consecutive naturals, for example, 7103445 + ... + 7107115.

It is an arithmetic number, because the mean of its divisors is an integer number (271451376).

Almost surely, 2^26083482880 is an apocalyptic number.

26083482880 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 26083482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39088998144).

26083482880 is an abundant number, since it is smaller than the sum of its proper divisors (52094513408).

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

26083482880 is a wasteful number, since it uses less digits than its factorization.

26083482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 26083482880 in words is "twenty-six billion, eighty-three million, four hundred eighty-two thousand, eight hundred eighty".