26904448775040 has 256 divisors, whose sum is σ = 88816145725440. Its totient is φ = 6922969088000.

The previous prime is 26904448775023. The next prime is 26904448775119. The reversal of 26904448775040 is 4057784440962.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307440 + ... + 8506640.

It is an arithmetic number, because the mean of its divisors is an integer number (346938069240).

Almost surely, 2^{26904448775040} is an apocalyptic number.

26904448775040 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 26904448775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44408072862720).

26904448775040 is an abundant number, since it is smaller than the sum of its proper divisors (61911696950400).

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

26904448775040 is a wasteful number, since it uses less digits than its factorization.

26904448775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199341 (or 4199329 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 26904448775040 in words is "twenty-six trillion, nine hundred four billion, four hundred forty-eight million, seven hundred seventy-five thousand, forty".