26830440000 has 1575 divisors, whose sum is σ = 125188971237. Its totient is φ = 5660928000.

The previous prime is 26830439981. The next prime is 26830440011. The reversal of 26830440000 is 4403862.

The square root of 26830440000 is 163800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 26501235264 + 329204736 = 162792^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (1575).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2063879994 + ... + 2063880006.

Almost surely, 2^26830440000 is an apocalyptic number.

26830440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26830440000 is the 163800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26830440000

26830440000 is an abundant number, since it is smaller than the sum of its proper divisors (98358531237).

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

26830440000 is an equidigital number, since it uses as much as digits as its factorization.

26830440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

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

Adding to 26830440000 its reverse (4403862), we get a palindrome (26834843862).

The spelling of 26830440000 in words is "twenty-six billion, eight hundred thirty million, four hundred forty thousand".