26144255319552 has 960 divisors, whose sum is σ = 84087198074880. Its totient is φ = 8089685581824.

The previous prime is 26144255319421. The next prime is 26144255319569. The reversal of 26144255319552 is 25591355244162.

26144255319552 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 4 + 2 + 55 + 31 + 9 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22025488303 + ... + 22025489489.

It is an arithmetic number, because the mean of its divisors is an integer number (87590831328).

Almost surely, 2^{26144255319552} 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 26144255319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42043599037440).

26144255319552 is an abundant number, since it is smaller than the sum of its proper divisors (57942942755328).

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

26144255319552 is a wasteful number, since it uses less digits than its factorization.

26144255319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1437 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 26144255319552 in words is "twenty-six trillion, one hundred forty-four billion, two hundred fifty-five million, three hundred nineteen thousand, five hundred fifty-two".