26138537830000 has 100 divisors (see below), whose sum is σ = 63303276623400. Its totient is φ = 10452232672000.

The previous prime is 26138537829979. The next prime is 26138537830003. The reversal of 26138537830000 is 3873583162.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×26138537830000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26138537830003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32593842 + ... + 33386158.

It is an arithmetic number, because the mean of its divisors is an integer number (633032766234).

Almost surely, 2^{26138537830000} is an apocalyptic number.

26138537830000 is a gapful number since it is divisible by the number (20) 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 26138537830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31651638311700).

26138537830000 is an abundant number, since it is smaller than the sum of its proper divisors (37164738793400).

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

26138537830000 is an equidigital number, since it uses as much as digits as its factorization.

26138537830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795644 (or 795623 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 26138537830000 in words is "twenty-six trillion, one hundred thirty-eight billion, five hundred thirty-seven million, eight hundred thirty thousand".