26691136000 has 320 divisors, whose sum is σ = 70148501280. Its totient is φ = 10115481600.

The previous prime is 26691135949. The next prime is 26691136001. The reversal of 26691136000 is 63119662.

It can be written as a sum of positive squares in 16 ways, for example, as 633428224 + 26057707776 = 25168^2 + 161424^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26691136001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135487902 + ... + 135488098.

Almost surely, 2^26691136000 is an apocalyptic number.

26691136000 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 26691136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35074250640).

26691136000 is an abundant number, since it is smaller than the sum of its proper divisors (43457365280).

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

26691136000 is an equidigital number, since it uses as much as digits as its factorization.

26691136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 26691136000 in words is "twenty-six billion, six hundred ninety-one million, one hundred thirty-six thousand".