26966016000000 has 3024 divisors, whose sum is σ = 127793076727680. Its totient is φ = 5308416000000.

The previous prime is 26966015999999. The next prime is 26966016000037. The reversal of 26966016000000 is 61066962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1419263999991 + ... + 1419264000009.

It is an arithmetic number, because the mean of its divisors is an integer number (42259615320).

Almost surely, 2^{26966016000000} is an apocalyptic number.

26966016000000 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 26966016000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63896538363840).

26966016000000 is an abundant number, since it is smaller than the sum of its proper divisors (100827060727680).

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

26966016000000 is an frugal number, since it uses more digits than its factorization.

26966016000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 26966016000000 its reverse (61066962), we get a palindrome (26966077066962).

It can be divided in two parts, 2696601 and 6000000, that added together give a square (8696601 = 2949²).

The spelling of 26966016000000 in words is "twenty-six trillion, nine hundred sixty-six billion, sixteen million", and thus it is an aban number.