26273286144 has 384 divisors, whose sum is σ = 89945856000. Its totient is φ = 7422492672.

The previous prime is 26273286139. The next prime is 26273286167. The reversal of 26273286144 is 44168237262.

It is a happy number.

26273286144 is a `hidden beast` number, since 2 + 6 + 2 + 7 + 3 + 28 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26273286144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39868087 + ... + 39868745.

It is an arithmetic number, because the mean of its divisors is an integer number (234234000).

Almost surely, 2^26273286144 is an apocalyptic number.

26273286144 is a gapful number since it is divisible by the number (24) 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 26273286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928000).

26273286144 is an abundant number, since it is smaller than the sum of its proper divisors (63672569856).

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

26273286144 is a wasteful number, since it uses less digits than its factorization.

26273286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 774 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 26273286144 in words is "twenty-six billion, two hundred seventy-three million, two hundred eighty-six thousand, one hundred forty-four".