26216448000 has 480 divisors, whose sum is σ = 92745813888. Its totient is φ = 6553600000.

The previous prime is 26216447993. The next prime is 26216448029. The reversal of 26216448000 is 84461262.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104447875 + ... + 104448125.

Almost surely, 2^26216448000 is an apocalyptic number.

26216448000 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 26216448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46372906944).

26216448000 is an abundant number, since it is smaller than the sum of its proper divisors (66529365888).

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

26216448000 is an equidigital number, since it uses as much as digits as its factorization.

26216448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 26216448000 in words is "twenty-six billion, two hundred sixteen million, four hundred forty-eight thousand".