26838405000 has 960 divisors, whose sum is σ = 107695526400. Its totient is φ = 6177600000.

The previous prime is 26838404977. The next prime is 26838405029. The reversal of 26838405000 is 50483862.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 506384974 + ... + 506385026.

It is an arithmetic number, because the mean of its divisors is an integer number (112182840).

Almost surely, 2^26838405000 is an apocalyptic number.

26838405000 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 26838405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53847763200).

26838405000 is an abundant number, since it is smaller than the sum of its proper divisors (80857121400).

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

26838405000 is a wasteful number, since it uses less digits than its factorization.

26838405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 26838405000 its reverse (50483862), we get a palindrome (26888888862).

The spelling of 26838405000 in words is "twenty-six billion, eight hundred thirty-eight million, four hundred five thousand".