26016209856 has 672 divisors, whose sum is σ = 98414604288. Its totient is φ = 6628884480.

The previous prime is 26016209837. The next prime is 26016209881. The reversal of 26016209856 is 65890261062.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 43871896 + ... + 43872488.

It is an arithmetic number, because the mean of its divisors is an integer number (146450304).

Almost surely, 2^26016209856 is an apocalyptic number.

26016209856 is a gapful number since it is divisible by the number (26) 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 26016209856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49207302144).

26016209856 is an abundant number, since it is smaller than the sum of its proper divisors (72398394432).

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

26016209856 is a wasteful number, since it uses less digits than its factorization.

26016209856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 26016209856 in words is "twenty-six billion, sixteen million, two hundred nine thousand, eight hundred fifty-six".