26587430243712 has 1728 divisors, whose sum is σ = 90883506364560. Its totient is φ = 7734833233920.

The previous prime is 26587430243659. The next prime is 26587430243723. The reversal of 26587430243712 is 21734203478562.

26587430243712 is a `hidden beast` number, since 2 + 6 + 587 + 4 + 3 + 0 + 2 + 43 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 320330484823 + ... + 320330484905.

Almost surely, 2^{26587430243712} 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 26587430243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441753182280).

26587430243712 is an abundant number, since it is smaller than the sum of its proper divisors (64296076120848).

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

26587430243712 is an frugal number, since it uses more digits than its factorization.

26587430243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 26587430243712 in words is "twenty-six trillion, five hundred eighty-seven billion, four hundred thirty million, two hundred forty-three thousand, seven hundred twelve".