26131364688 has 320 divisors, whose sum is σ = 82378727424. Its totient is φ = 7029504000.

The previous prime is 26131364669. The next prime is 26131364713. The reversal of 26131364688 is 88646313162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 48301698 + ... + 48302238.

Almost surely, 2^26131364688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26131364688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189363712).

26131364688 is an abundant number, since it is smaller than the sum of its proper divisors (56247362736).

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

26131364688 is a wasteful number, since it uses less digits than its factorization.

26131364688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 26131364688 in words is "twenty-six billion, one hundred thirty-one million, three hundred sixty-four thousand, six hundred eighty-eight".