26136886906368 has 720 divisors, whose sum is σ = 91086264949680. Its totient is φ = 7460469080064.

The previous prime is 26136886906363. The next prime is 26136886906393. The reversal of 26136886906368 is 86360968863162.

26136886906368 is a `hidden beast` number, since 2 + 61 + 368 + 8 + 6 + 90 + 63 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26136886906296 and 26136886906305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26136886906363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12369562080 + ... + 12369564192.

It is an arithmetic number, because the mean of its divisors is an integer number (126508701319).

Almost surely, 2^{26136886906368} is an apocalyptic number.

26136886906368 is a gapful number since it is divisible by the number (28) 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 26136886906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45543132474840).

26136886906368 is an abundant number, since it is smaller than the sum of its proper divisors (64949378043312).

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

26136886906368 is an equidigital number, since it uses as much as digits as its factorization.

26136886906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 26136886906368 in words is "twenty-six trillion, one hundred thirty-six billion, eight hundred eighty-six million, nine hundred six thousand, three hundred sixty-eight".