26869688960 has 128 divisors (see below), whose sum is σ = 66754022400. Its totient is φ = 10331136000.

The previous prime is 26869688959. The next prime is 26869688977. The reversal of 26869688960 is 6988696862.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2991356 + ... + 3000324.

It is an arithmetic number, because the mean of its divisors is an integer number (521515800).

Almost surely, 2^26869688960 is an apocalyptic number.

26869688960 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 26869688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33377011200).

26869688960 is an abundant number, since it is smaller than the sum of its proper divisors (39884333440).

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

26869688960 is a wasteful number, since it uses less digits than its factorization.

26869688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 68.

The spelling of 26869688960 in words is "twenty-six billion, eight hundred sixty-nine million, six hundred eighty-eight thousand, nine hundred sixty".