26538043392 has 768 divisors, whose sum is σ = 98594496000. Its totient is φ = 6879707136.

The previous prime is 26538043381. The next prime is 26538043423. The reversal of 26538043392 is 29334083562.

26538043392 is a `hidden beast` number, since 2 + 6 + 53 + 80 + 433 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 243468234 + ... + 243468342.

It is an arithmetic number, because the mean of its divisors is an integer number (128378250).

Almost surely, 2^26538043392 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 26538043392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297248000).

26538043392 is an abundant number, since it is smaller than the sum of its proper divisors (72056452608).

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

26538043392 is a wasteful number, since it uses less digits than its factorization.

26538043392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26538043392 in words is "twenty-six billion, five hundred thirty-eight million, forty-three thousand, three hundred ninety-two".