26650668800000 has 864 divisors, whose sum is σ = 82054709100000. Its totient is φ = 8598159360000.

The previous prime is 26650668799987. The next prime is 26650668800009. The reversal of 26650668800000 is 886605662.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26650668800009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5331197501 + ... + 5331202499.

It is an arithmetic number, because the mean of its divisors is an integer number (94970728125).

Almost surely, 2^{26650668800000} is an apocalyptic number.

26650668800000 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 26650668800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41027354550000).

26650668800000 is an abundant number, since it is smaller than the sum of its proper divisors (55404040300000).

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

26650668800000 is an frugal number, since it uses more digits than its factorization.

26650668800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 26650668800000 in words is "twenty-six trillion, six hundred fifty billion, six hundred sixty-eight million, eight hundred thousand".