26294400000 has 792 divisors, whose sum is σ = 104774106528. Its totient is φ = 6297600000.

The previous prime is 26294399969. The next prime is 26294400037. The reversal of 26294400000 is 449262.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316799959 + ... + 316800041.

Almost surely, 2^26294400000 is an apocalyptic number.

26294400000 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 26294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52387053264).

26294400000 is an abundant number, since it is smaller than the sum of its proper divisors (78479706528).

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

26294400000 is an equidigital number, since it uses as much as digits as its factorization.

26294400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 26294400000 its reverse (449262), we get a palindrome (26294849262).

The spelling of 26294400000 in words is "twenty-six billion, two hundred ninety-four million, four hundred thousand".