26273745792 has 320 divisors, whose sum is σ = 91449283200. Its totient is φ = 7331337216.

The previous prime is 26273745791. The next prime is 26273745793. The reversal of 26273745792 is 29754737262.

It is a happy number.

26273745792 is a `hidden beast` number, since 2 + 62 + 7 + 3 + 7 + 4 + 579 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26273745791) and next prime (26273745793).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26273745791) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3116559 + ... + 3124977.

It is an arithmetic number, because the mean of its divisors is an integer number (285779010).

Almost surely, 2^26273745792 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 26273745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45724641600).

26273745792 is an abundant number, since it is smaller than the sum of its proper divisors (65175537408).

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

26273745792 is an equidigital number, since it uses as much as digits as its factorization.

26273745792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8474 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 26273745792 in words is "twenty-six billion, two hundred seventy-three million, seven hundred forty-five thousand, seven hundred ninety-two".