26834358720 has 448 divisors, whose sum is σ = 94450204800. Its totient is φ = 6414336000.

The previous prime is 26834358643. The next prime is 26834358779. The reversal of 26834358720 is 2785343862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26834358720.

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 63 ways as a sum of consecutive naturals, for example, 76889106 + ... + 76889454.

It is an arithmetic number, because the mean of its divisors is an integer number (210826350).

Almost surely, 2^26834358720 is an apocalyptic number.

26834358720 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 26834358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47225102400).

26834358720 is an abundant number, since it is smaller than the sum of its proper divisors (67615846080).

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

26834358720 is a wasteful number, since it uses less digits than its factorization.

26834358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 26834358720 in words is "twenty-six billion, eight hundred thirty-four million, three hundred fifty-eight thousand, seven hundred twenty".