26409600000 has 792 divisors, whose sum is σ = 109763349696. Its totient is φ = 5990400000.

The previous prime is 26409599959. The next prime is 26409600053. The reversal of 26409600000 is 690462.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201599935 + ... + 201600065.

It is an arithmetic number, because the mean of its divisors is an integer number (138590088).

Almost surely, 2^26409600000 is an apocalyptic number.

26409600000 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 26409600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54881674848).

26409600000 is an abundant number, since it is smaller than the sum of its proper divisors (83353749696).

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

26409600000 is an equidigital number, since it uses as much as digits as its factorization.

26409600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 26409600000 in words is "twenty-six billion, four hundred nine million, six hundred thousand".