26834720000 has 360 divisors, whose sum is σ = 74326707840. Its totient is φ = 9584640000.

The previous prime is 26834719987. The next prime is 26834720009. The reversal of 26834720000 is 2743862.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26834720009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139039904 + ... + 139040096.

Almost surely, 2^26834720000 is an apocalyptic number.

26834720000 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 26834720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37163353920).

26834720000 is an abundant number, since it is smaller than the sum of its proper divisors (47491987840).

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

26834720000 is an equidigital number, since it uses as much as digits as its factorization.

26834720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 26834720000 in words is "twenty-six billion, eight hundred thirty-four million, seven hundred twenty thousand".