26089979760 has 240 divisors, whose sum is σ = 95422017600. Its totient is φ = 6349787136.

The previous prime is 26089979693. The next prime is 26089979777. The reversal of 26089979760 is 6797998062.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×26089979760³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817381 + ... + 848699.

It is an arithmetic number, because the mean of its divisors is an integer number (397591740).

Almost surely, 2^26089979760 is an apocalyptic number.

26089979760 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 26089979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47711008800).

26089979760 is an abundant number, since it is smaller than the sum of its proper divisors (69332037840).

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

26089979760 is a wasteful number, since it uses less digits than its factorization.

26089979760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31440 (or 31431 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 26089979760 in words is "twenty-six billion, eighty-nine million, nine hundred seventy-nine thousand, seven hundred sixty".