26909807258880 has 864 divisors, whose sum is σ = 114644699280384. Its totient is φ = 5675009900544.

The previous prime is 26909807258839. The next prime is 26909807258897. The reversal of 26909807258880 is 8885270890962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26909807258799 and 26909807258808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2900696802 + ... + 2900706078.

Almost surely, 2^{26909807258880} is an apocalyptic number.

26909807258880 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 26909807258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57322349640192).

26909807258880 is an abundant number, since it is smaller than the sum of its proper divisors (87734892021504).

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

26909807258880 is a wasteful number, since it uses less digits than its factorization.

26909807258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12091 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 26909807258880 in words is "twenty-six trillion, nine hundred nine billion, eight hundred seven million, two hundred fifty-eight thousand, eight hundred eighty".