26248320000 has 1320 divisors, whose sum is σ = 116641662720. Its totient is φ = 5806080000.

The previous prime is 26248319987. The next prime is 26248320019. The reversal of 26248320000 is 2384262.

26248320000 is a `hidden beast` number, since 2 + 624 + 8 + 32 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 846719985 + ... + 846720015.

It is an arithmetic number, because the mean of its divisors is an integer number (88364896).

Almost surely, 2^26248320000 is an apocalyptic number.

26248320000 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 26248320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320831360).

26248320000 is an abundant number, since it is smaller than the sum of its proper divisors (90393342720).

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

26248320000 is an equidigital number, since it uses as much as digits as its factorization.

26248320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

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

The spelling of 26248320000 in words is "twenty-six billion, two hundred forty-eight million, three hundred twenty thousand".