26338858920 has 288 divisors, whose sum is σ = 94986833760. Its totient is φ = 6324384000.

The previous prime is 26338858919. The next prime is 26338858921. The reversal of 26338858920 is 2985883362.

26338858920 is a `hidden beast` number, since 2 + 6 + 3 + 38 + 8 + 589 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (26338858919) and next prime (26338858921).

It is a super-4 number, since 4×26338858920⁴ (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (26338858921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4658095 + ... + 4663745.

It is an arithmetic number, because the mean of its divisors is an integer number (329815395).

Almost surely, 2^26338858920 is an apocalyptic number.

26338858920 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 26338858920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47493416880).

26338858920 is an abundant number, since it is smaller than the sum of its proper divisors (68647974840).

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

26338858920 is a wasteful number, since it uses less digits than its factorization.

26338858920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 26338858920 in words is "twenty-six billion, three hundred thirty-eight million, eight hundred fifty-eight thousand, nine hundred twenty".