26138324160 has 896 divisors, whose sum is σ = 107072582400. Its totient is φ = 6055575552.

The previous prime is 26138324159. The next prime is 26138324209. The reversal of 26138324160 is 6142383162.

26138324160 is a `hidden beast` number, since 2 + 613 + 8 + 3 + 24 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3978 × 3510 × 1872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1537548472 + ... + 1537548488.

It is an arithmetic number, because the mean of its divisors is an integer number (119500650).

Almost surely, 2^26138324160 is an apocalyptic number.

26138324160 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 26138324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53536291200).

26138324160 is an abundant number, since it is smaller than the sum of its proper divisors (80934258240).

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

26138324160 is an frugal number, since it uses more digits than its factorization.

26138324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26138324160 in words is "twenty-six billion, one hundred thirty-eight million, three hundred twenty-four thousand, one hundred sixty".