26129836317312 has 2048 divisors, whose sum is σ = 104862449664000. Its totient is φ = 6208362381312.

The previous prime is 26129836317311. The next prime is 26129836317379. The reversal of 26129836317312 is 21371363892162.

26129836317312 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 9 + 8 + 3 + 6 + 317 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (26129836317311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19690908393 + ... + 19690909719.

It is an arithmetic number, because the mean of its divisors is an integer number (51202368000).

Almost surely, 2^{26129836317312} 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 26129836317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52431224832000).

26129836317312 is an abundant number, since it is smaller than the sum of its proper divisors (78732613346688).

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

26129836317312 is a wasteful number, since it uses less digits than its factorization.

26129836317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1525 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 26129836317312 in words is "twenty-six trillion, one hundred twenty-nine billion, eight hundred thirty-six million, three hundred seventeen thousand, three hundred twelve".