26342124200 has 96 divisors (see below), whose sum is σ = 70303982400. Its totient is φ = 8991690240.

The previous prime is 26342124197. The next prime is 26342124203. The reversal of 26342124200 is 242124362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26342124197) and next prime (26342124203).

It is a self number, because there is not a number n which added to its sum of digits gives 26342124200.

It is not an unprimeable number, because it can be changed into a prime (26342124203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276356 + ... + 359244.

It is an arithmetic number, because the mean of its divisors is an integer number (732333150).

Almost surely, 2^26342124200 is an apocalyptic number.

26342124200 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 26342124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151991200).

26342124200 is an abundant number, since it is smaller than the sum of its proper divisors (43961858200).

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

26342124200 is a wasteful number, since it uses less digits than its factorization.

26342124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83139 (or 83130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 26342124200 its reverse (242124362), we get a palindrome (26584248562).

The spelling of 26342124200 in words is "twenty-six billion, three hundred forty-two million, one hundred twenty-four thousand, two hundred".