26855355520 has 192 divisors, whose sum is σ = 74845366200. Its totient is φ = 9187540992.

The previous prime is 26855355479. The next prime is 26855355557. The reversal of 26855355520 is 2555355862.

It can be written as a sum of positive squares in 4 ways, for example, as 26428354624 + 427000896 = 162568^2 + 20664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25996924 + ... + 25997956.

Almost surely, 2^26855355520 is an apocalyptic number.

26855355520 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 26855355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37422683100).

26855355520 is an abundant number, since it is smaller than the sum of its proper divisors (47990010680).

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

26855355520 is a wasteful number, since it uses less digits than its factorization.

26855355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 46.

It can be divided in two parts, 26855 and 355520, that added together give a triangular number (382375 = T₈₇₄).

The spelling of 26855355520 in words is "twenty-six billion, eight hundred fifty-five million, three hundred fifty-five thousand, five hundred twenty".