26838422500000 has 192 divisors, whose sum is σ = 66202716067488. Its totient is φ = 10710144000000.

The previous prime is 26838422499949. The next prime is 26838422500007. The reversal of 26838422500000 is 522483862.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 26836005401104 + 2417098896 = 5180348^2 + 49164^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26838422500007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082487604 + ... + 1082512396.

Almost surely, 2^{26838422500000} is an apocalyptic number.

26838422500000 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 26838422500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33101358033744).

26838422500000 is an abundant number, since it is smaller than the sum of its proper divisors (39364293567488).

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

26838422500000 is an frugal number, since it uses more digits than its factorization.

26838422500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25271 (or 25233 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 26838422500000 its reverse (522483862), we get a palindrome (26838944983862).

The spelling of 26838422500000 in words is "twenty-six trillion, eight hundred thirty-eight billion, four hundred twenty-two million, five hundred thousand".