26164066320 has 240 divisors, whose sum is σ = 102067610112. Its totient is φ = 5882250240.

The previous prime is 26164066219. The next prime is 26164066321. The reversal of 26164066320 is 2366046162.

26164066320 is a `hidden beast` number, since 2 + 6 + 1 + 640 + 6 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (26164066321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 264889 + ... + 349991.

Almost surely, 2^26164066320 is an apocalyptic number.

26164066320 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 26164066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51033805056).

26164066320 is an abundant number, since it is smaller than the sum of its proper divisors (75903543792).

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

26164066320 is a wasteful number, since it uses less digits than its factorization.

26164066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85190 (or 85181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26164066320 in words is "twenty-six billion, one hundred sixty-four million, sixty-six thousand, three hundred twenty".