26426748096 has 224 divisors, whose sum is σ = 89045166080. Its totient is φ = 7528660992.

The previous prime is 26426748079. The next prime is 26426748143. The reversal of 26426748096 is 69084762462.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4436256 + ... + 4442208.

Almost surely, 2^26426748096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26426748096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44522583040).

26426748096 is an abundant number, since it is smaller than the sum of its proper divisors (62618417984).

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

26426748096 is a wasteful number, since it uses less digits than its factorization.

26426748096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 26426748096 in words is "twenty-six billion, four hundred twenty-six million, seven hundred forty-eight thousand, ninety-six".