26661349220352 has 896 divisors, whose sum is σ = 90259268198400. Its totient is φ = 6799231549440.

The previous prime is 26661349220333. The next prime is 26661349220413. The reversal of 26661349220352 is 25302294316662.

It is a tau number, because it is divible by the number of its divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 26661349220295 and 26661349220304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31255977558 + ... + 31255978410.

It is an arithmetic number, because the mean of its divisors is an integer number (100735790400).

Almost surely, 2^{26661349220352} is an apocalyptic number.

26661349220352 is a gapful number since it is divisible by the number (22) 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 26661349220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45129634099200).

26661349220352 is an abundant number, since it is smaller than the sum of its proper divisors (63597918978048).

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

26661349220352 is a wasteful number, since it uses less digits than its factorization.

26661349220352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 26661349220352 in words is "twenty-six trillion, six hundred sixty-one billion, three hundred forty-nine million, two hundred twenty thousand, three hundred fifty-two".