26643693194496 has 864 divisors, whose sum is σ = 95676742425600. Its totient is φ = 7283889930240.

The previous prime is 26643693194483. The next prime is 26643693194519. The reversal of 26643693194496 is 69449139634662.

26643693194496 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 36 + 93 + 19 + 4 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934425936 + ... + 934454448.

It is an arithmetic number, because the mean of its divisors is an integer number (110736970400).

Almost surely, 2^{26643693194496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26643693194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47838371212800).

26643693194496 is an abundant number, since it is smaller than the sum of its proper divisors (69033049231104).

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

26643693194496 is a wasteful number, since it uses less digits than its factorization.

26643693194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672 (or 28645 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 72.

The spelling of 26643693194496 in words is "twenty-six trillion, six hundred forty-three billion, six hundred ninety-three million, one hundred ninety-four thousand, four hundred ninety-six".