26838164160 has 280 divisors, whose sum is σ = 95883441456. Its totient is φ = 7155164160.

The previous prime is 26838164159. The next prime is 26838164209. The reversal of 26838164160 is 6146183862.

26838164160 is a `hidden beast` number, since 268 + 381 + 6 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6296430 + ... + 6300690.

Almost surely, 2^26838164160 is an apocalyptic number.

26838164160 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 26838164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47941720728).

26838164160 is an abundant number, since it is smaller than the sum of its proper divisors (69045277296).

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

26838164160 is an frugal number, since it uses more digits than its factorization.

26838164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26838164160 in words is "twenty-six billion, eight hundred thirty-eight million, one hundred sixty-four thousand, one hundred sixty".