26705243136 has 704 divisors, whose sum is σ = 90326347776. Its totient is φ = 6900940800.

The previous prime is 26705243129. The next prime is 26705243153. The reversal of 26705243136 is 63134250762.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×26705243136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 26705243094 and 26705243103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503872486 + ... + 503872538.

Almost surely, 2^26705243136 is an apocalyptic number.

26705243136 is a gapful number since it is divisible by the number (26) 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 26705243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163173888).

26705243136 is an abundant number, since it is smaller than the sum of its proper divisors (63621104640).

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

26705243136 is a wasteful number, since it uses less digits than its factorization.

26705243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

Adding to 26705243136 its reverse (63134250762), we get a palindrome (89839493898).

The spelling of 26705243136 in words is "twenty-six billion, seven hundred five million, two hundred forty-three thousand, one hundred thirty-six".