26129674656 has 240 divisors, whose sum is σ = 80064369000. Its totient is φ = 8349530112.

The previous prime is 26129674621. The next prime is 26129674663. The reversal of 26129674656 is 65647692162.

26129674656 is a `hidden beast` number, since 261 + 296 + 7 + 46 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15830672400 + 10299002256 = 125820^2 + 101484^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11198866 + ... + 11201198.

Almost surely, 2^26129674656 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 26129674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40032184500).

26129674656 is an abundant number, since it is smaller than the sum of its proper divisors (53934694344).

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

26129674656 is a wasteful number, since it uses less digits than its factorization.

26129674656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2516 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 26129674656 in words is "twenty-six billion, one hundred twenty-nine million, six hundred seventy-four thousand, six hundred fifty-six".