26045828928 has 336 divisors, whose sum is σ = 93461921280. Its totient is φ = 6761889792.

The previous prime is 26045828863. The next prime is 26045828933. The reversal of 26045828928 is 82982854062.

It is a happy number.

26045828928 is a `hidden beast` number, since 2 + 604 + 5 + 8 + 2 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1981225 + ... + 1994327.

It is an arithmetic number, because the mean of its divisors is an integer number (278160480).

Almost surely, 2^26045828928 is an apocalyptic number.

26045828928 is a gapful number since it is divisible by the number (28) 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 26045828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46730960640).

26045828928 is an abundant number, since it is smaller than the sum of its proper divisors (67416092352).

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

26045828928 is a wasteful number, since it uses less digits than its factorization.

26045828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 26045828928 in words is "twenty-six billion, forty-five million, eight hundred twenty-eight thousand, nine hundred twenty-eight".