26842032000 has 768 divisors, whose sum is σ = 113853542400. Its totient is φ = 5930496000.

The previous prime is 26842031989. The next prime is 26842032011. The reversal of 26842032000 is 23024862.

It is an interprime number because it is at equal distance from previous prime (26842031989) and next prime (26842032011).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 31247571 + ... + 31248429.

It is an arithmetic number, because the mean of its divisors is an integer number (148246800).

Almost surely, 2^26842032000 is an apocalyptic number.

26842032000 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 26842032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56926771200).

26842032000 is an abundant number, since it is smaller than the sum of its proper divisors (87011510400).

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

26842032000 is a wasteful number, since it uses less digits than its factorization.

26842032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 26842032000 its reverse (23024862), we get a palindrome (26865056862).

The spelling of 26842032000 in words is "twenty-six billion, eight hundred forty-two million, thirty-two thousand".