26909326080 has 1296 divisors, whose sum is σ = 123409933920. Its totient is φ = 5350883328.

The previous prime is 26909326069. The next prime is 26909326121. The reversal of 26909326080 is 8062390962.

26909326080 is a `hidden beast` number, since 2 + 6 + 9 + 0 + 9 + 32 + 608 + 0 = 666.

It is a super-2 number, since 2×26909326080² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139426464 + ... + 139426656.

Almost surely, 2^26909326080 is an apocalyptic number.

26909326080 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 26909326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61704966960).

26909326080 is an abundant number, since it is smaller than the sum of its proper divisors (96500607840).

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

26909326080 is a wasteful number, since it uses less digits than its factorization.

26909326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26909326080 in words is "twenty-six billion, nine hundred nine million, three hundred twenty-six thousand, eighty".