26696229430080 has 448 divisors, whose sum is σ = 100236369991680. Its totient is φ = 5890001510400.

The previous prime is 26696229430027. The next prime is 26696229430121. The reversal of 26696229430080 is 8003492269662.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 26696229430080.

It is a congruent number.

It is an unprimeable number.

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, 820623415 + ... + 820655945.

Almost surely, 2^{26696229430080} is an apocalyptic number.

26696229430080 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 26696229430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50118184995840).

26696229430080 is an abundant number, since it is smaller than the sum of its proper divisors (73540140561600).

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

26696229430080 is a wasteful number, since it uses less digits than its factorization.

26696229430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36798 (or 36788 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 26696229430080 in words is "twenty-six trillion, six hundred ninety-six billion, two hundred twenty-nine million, four hundred thirty thousand, eighty".