26233740905472 has 396 divisors, whose sum is σ = 78859376956360. Its totient is φ = 8722286198784.

The previous prime is 26233740905453. The next prime is 26233740905473. The reversal of 26233740905472 is 27450904733262.

It is a happy number.

26233740905472 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 3 + 7 + 4 + 0 + 90 + 547 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26233740905473) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2747847003 + ... + 2747856549.

Almost surely, 2^{26233740905472} 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 26233740905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39429688478180).

26233740905472 is an abundant number, since it is smaller than the sum of its proper divisors (52625636050888).

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

26233740905472 is an frugal number, since it uses more digits than its factorization.

26233740905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 26233740905472 in words is "twenty-six trillion, two hundred thirty-three billion, seven hundred forty million, nine hundred five thousand, four hundred seventy-two".