26909328000000 has 616 divisors, whose sum is σ = 90674542476000. Its totient is φ = 7094067200000.

The previous prime is 26909327999989. The next prime is 26909328000017. The reversal of 26909328000000 is 82390962.

It is a super-2 number, since 2×26909328000000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4271996851 + ... + 4272003149.

Almost surely, 2^{26909328000000} is an apocalyptic number.

26909328000000 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 26909328000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45337271238000).

26909328000000 is an abundant number, since it is smaller than the sum of its proper divisors (63765214476000).

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

26909328000000 is an frugal number, since it uses more digits than its factorization.

26909328000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 26909328000000 in words is "twenty-six trillion, nine hundred nine billion, three hundred twenty-eight million", and thus it is an aban number.