26434320000 has 1280 divisors, whose sum is σ = 110124748800. Its totient is φ = 5529600000.

The previous prime is 26434319941. The next prime is 26434320037. The reversal of 26434320000 is 2343462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 852719985 + ... + 852720015.

It is an arithmetic number, because the mean of its divisors is an integer number (86034960).

Almost surely, 2^26434320000 is an apocalyptic number.

26434320000 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 26434320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062374400).

26434320000 is an abundant number, since it is smaller than the sum of its proper divisors (83690428800).

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

26434320000 is a wasteful number, since it uses less digits than its factorization.

26434320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 26434320000 its reverse (2343462), we get a palindrome (26436663462).

The spelling of 26434320000 in words is "twenty-six billion, four hundred thirty-four million, three hundred twenty thousand".