26376352000 has 144 divisors (see below), whose sum is σ = 66365483184. Its totient is φ = 10444800000.

The previous prime is 26376351977. The next prime is 26376352003. The reversal of 26376352000 is 25367362.

It can be written as a sum of positive squares in 8 ways, for example, as 3601920256 + 22774431744 = 60016^2 + 150912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26376352003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3227920 + ... + 3236080.

It is an arithmetic number, because the mean of its divisors is an integer number (460871411).

Almost surely, 2^26376352000 is an apocalyptic number.

26376352000 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 26376352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33182741592).

26376352000 is an abundant number, since it is smaller than the sum of its proper divisors (39989131184).

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

26376352000 is an equidigital number, since it uses as much as digits as its factorization.

26376352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 26376352000 in words is "twenty-six billion, three hundred seventy-six million, three hundred fifty-two thousand".