26159347859200 has 216 divisors, whose sum is σ = 69389682713568. Its totient is φ = 9738283991040.

The previous prime is 26159347859189. The next prime is 26159347859209. The reversal of 26159347859200 is 295874395162.

26159347859200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26159347859200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26159347859209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3044874 + ... + 7847926.

It is a 2-persistent number, because it is pandigital, and so is 2⋅26159347859200 = 52318695718400, but 3⋅26159347859200 = 78478043577600 is not.

Almost surely, 2^{26159347859200} is an apocalyptic number.

26159347859200 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 26159347859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34694841356784).

26159347859200 is an abundant number, since it is smaller than the sum of its proper divisors (43230334854368).

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

26159347859200 is a wasteful number, since it uses less digits than its factorization.

26159347859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803139 (or 4803120 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 26159347859200 in words is "twenty-six trillion, one hundred fifty-nine billion, three hundred forty-seven million, eight hundred fifty-nine thousand, two hundred".