26641746813000 has 256 divisors, whose sum is σ = 91068024003840. Its totient is φ = 6430884096000.

The previous prime is 26641746812969. The next prime is 26641746813007. The reversal of 26641746813000 is 31864714662.

It is not an unprimeable number, because it can be changed into a prime (26641746813007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5956542 + ... + 9421458.

It is an arithmetic number, because the mean of its divisors is an integer number (355734468765).

Almost surely, 2^{26641746813000} is an apocalyptic number.

26641746813000 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 26641746813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45534012001920).

26641746813000 is an abundant number, since it is smaller than the sum of its proper divisors (64426277190840).

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

26641746813000 is a wasteful number, since it uses less digits than its factorization.

26641746813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465185 (or 3465171 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 26641746813000 in words is "twenty-six trillion, six hundred forty-one billion, seven hundred forty-six million, eight hundred thirteen thousand".