26883005760 has 1260 divisors, whose sum is σ = 115714800828. Its totient is φ = 5900304384.

The previous prime is 26883005753. The next prime is 26883005791. The reversal of 26883005760 is 6750038862.

It can be written as a sum of positive squares in 6 ways, for example, as 2561979456 + 24321026304 = 50616^2 + 155952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 1414895031 + ... + 1414895049.

Almost surely, 2^26883005760 is an apocalyptic number.

26883005760 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 26883005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57857400414).

26883005760 is an abundant number, since it is smaller than the sum of its proper divisors (88831795068).

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

26883005760 is a wasteful number, since it uses less digits than its factorization.

26883005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26883005760 in words is "twenty-six billion, eight hundred eighty-three million, five thousand, seven hundred sixty".