26661143838720 has 288 divisors, whose sum is σ = 85634190895680. Its totient is φ = 7083067965440.

The previous prime is 26661143838697. The next prime is 26661143838781. The reversal of 26661143838720 is 2783834116662.

It is a happy number.

26661143838720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528850315 + ... + 528900725.

It is an arithmetic number, because the mean of its divisors is an integer number (297340940610).

Almost surely, 2^{26661143838720} is an apocalyptic number.

26661143838720 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 26661143838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42817095447840).

26661143838720 is an abundant number, since it is smaller than the sum of its proper divisors (58973047056960).

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

26661143838720 is an frugal number, since it uses more digits than its factorization.

26661143838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50722 (or 50690 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 26661143838720 in words is "twenty-six trillion, six hundred sixty-one billion, one hundred forty-three million, eight hundred thirty-eight thousand, seven hundred twenty".