26283386880 has 288 divisors, whose sum is σ = 92829489480. Its totient is φ = 6875381760.

The previous prime is 26283386867. The next prime is 26283386887. The reversal of 26283386880 is 8868338262.

26283386880 is a `hidden beast` number, since 2 + 628 + 3 + 3 + 8 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21545542656 + 4737844224 = 146784^2 + 68832^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26283386880² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26283386887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4881790 + ... + 4887170.

Almost surely, 2^26283386880 is an apocalyptic number.

26283386880 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 26283386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414744740).

26283386880 is an abundant number, since it is smaller than the sum of its proper divisors (66546102600).

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

26283386880 is a wasteful number, since it uses less digits than its factorization.

26283386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 26283386880 in words is "twenty-six billion, two hundred eighty-three million, three hundred eighty-six thousand, eight hundred eighty".