26123672064 has 320 divisors, whose sum is σ = 84936563712. Its totient is φ = 6964838400.

The previous prime is 26123672041. The next prime is 26123672083. The reversal of 26123672064 is 46027632162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23944159 + ... + 23945249.

Almost surely, 2^26123672064 is an apocalyptic number.

26123672064 is a gapful number since it is divisible by the number (24) 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 26123672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42468281856).

26123672064 is an abundant number, since it is smaller than the sum of its proper divisors (58812891648).

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

26123672064 is a wasteful number, since it uses less digits than its factorization.

26123672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 26123672064 in words is "twenty-six billion, one hundred twenty-three million, six hundred seventy-two thousand, sixty-four".