26085080829600 has 576 divisors, whose sum is σ = 102206600858880. Its totient is φ = 6382482739200.

The previous prime is 26085080829463. The next prime is 26085080829601. The reversal of 26085080829600 is 692808058062.

26085080829600 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 5 + 0 + 8 + 0 + 8 + 29 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26085080829601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46615470 + ... + 47171730.

It is an arithmetic number, because the mean of its divisors is an integer number (177442015380).

Almost surely, 2^{26085080829600} is an apocalyptic number.

26085080829600 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 26085080829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51103300429440).

26085080829600 is an abundant number, since it is smaller than the sum of its proper divisors (76121520029280).

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

26085080829600 is a wasteful number, since it uses less digits than its factorization.

26085080829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556470 (or 556451 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 26085080829600 in words is "twenty-six trillion, eighty-five billion, eighty million, eight hundred twenty-nine thousand, six hundred".