26250816000 has 320 divisors, whose sum is σ = 89165007360. Its totient is φ = 6848921600.

The previous prime is 26250815989. The next prime is 26250816001. The reversal of 26250816000 is 61805262.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26250816001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9022546 + ... + 9025454.

It is an arithmetic number, because the mean of its divisors is an integer number (278640648).

Almost surely, 2^26250816000 is an apocalyptic number.

26250816000 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 26250816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44582503680).

26250816000 is an abundant number, since it is smaller than the sum of its proper divisors (62914191360).

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

26250816000 is an equidigital number, since it uses as much as digits as its factorization.

26250816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 26250816000 in words is "twenty-six billion, two hundred fifty million, eight hundred sixteen thousand".